Class 10th Science Tamilnadu Board Solution
Part-a- The potential difference required to pass a current 0.2 A in a wire of resistance 20 ohm…
- Two electric bulbs have resistances in the ratio 1 : 2. If they are joined in series, the…
- Kilowatt-hour is the unit of __________.A. potential difference B. electric power C.…
- ________ surface absorbs more heat than any other surface under identical conditions.A.…
- The atomic number of natural radioactive element is _________.A. greater than 82 B. less…
- Which one of the following statements does not represents Ohm’s law? (i) current /…
- What is the major fuel used in thermal power plants?
- Which is the ultimate source of energy?
- What must be the minimum speed of wind to harness wind energy by turbines?…
- What is the main raw material used in the production of biogas?
Part-b- Fill in the blanks i) Potential difference: voltmeter; then current __________. ii) Hydro…
- In the list of sources of energy given below, find out the odd one. (wind energy, solar…
- Correct the mistakes, if any, in the following statements. i) A good source of energy…
- The schematic diagram, in which different components of the circuit are represented by the…
- The following graph was plotted between V and I values. What would be the values of V / I…
- We know that γ - rays are harmful radiations emitted by natural radioactive substances. i)…
- Draw the schematic diagram of an electric circuit consisting of a battery of two cells of…
- Fuse wire is made up of an alloy of ___________ which has high resistance and_______.…
- Observe the circuit given and find the resistance across AB.
- Complete the table choosing the right terms within the brackets. (zinc, copper, carbon,…
- How many electrons flow through an electric bulb every second, if the current that passes…
- Vani’s hair dryer has a resistance of 50 Ω when it is first turned on. i) How much current…
- In the given network, find the equivalent resistance between A and B.…
- If a string of these lights consists of 12 bulbs, what is the potential difference across…
- If the bulbs were connected in parallel, what would be the potential difference across…
- The figure is a part of a closed circuit. Find the currents i1, i2 and i3…
- If the reading of the Ideal voltmeter (V) in the given circuit is 6V, then find the…
- A wire of resistance 8 Ω is bent into a circle. Find the resistance across the diameter.…
- A wire is bent into a circle. The effective resistance across the diameter is 8 Ω. Find…
- Two bulbs of 40 W and 60 W are connected in series to an external potential difference.…
- Two bulbs of 70 W and 50 W are connected in parallel to an external potential difference.…
- Write about ocean thermal energy?
- In a hydroelectric power plant, more electrical power can be generated if water falls from…
- What measures would you suggest to minimize environmental pollution caused by burning of…
- What are the limitations in harnessing wind energy?
- What is biomass? What can be done to obtain bioenergy using biomass?…
- Which form of energy leads to the least amount of environmental pollution in the process…
Part-c- Veena’s car radio will run from a 12 V car battery that produces a current of 0.20 A even…
- Find the total current that passes through the circuit. Find the heat generated across the…
- Find the total current that passes through the circuit given in the diagram. Also find the…
- Raman’s air-conditioner consumes 2160 W of power, when a current of 9.0 A passes through…
- The effective resistance of three resistors connected in parallel is 60/47 Ω. When one…
- A and D Find the resistance across
- B and D. Find the resistance across
- Explain the two different ways of harnessing energy from the ocean.…
- Five resistors of resistance ‘R’ are connected such that they form a letter ‘A’. Find the…
- The potential difference required to pass a current 0.2 A in a wire of resistance 20 ohm…
- Two electric bulbs have resistances in the ratio 1 : 2. If they are joined in series, the…
- Kilowatt-hour is the unit of __________.A. potential difference B. electric power C.…
- ________ surface absorbs more heat than any other surface under identical conditions.A.…
- The atomic number of natural radioactive element is _________.A. greater than 82 B. less…
- Which one of the following statements does not represents Ohm’s law? (i) current /…
- What is the major fuel used in thermal power plants?
- Which is the ultimate source of energy?
- What must be the minimum speed of wind to harness wind energy by turbines?…
- What is the main raw material used in the production of biogas?
- Fill in the blanks i) Potential difference: voltmeter; then current __________. ii) Hydro…
- In the list of sources of energy given below, find out the odd one. (wind energy, solar…
- Correct the mistakes, if any, in the following statements. i) A good source of energy…
- The schematic diagram, in which different components of the circuit are represented by the…
- The following graph was plotted between V and I values. What would be the values of V / I…
- We know that γ - rays are harmful radiations emitted by natural radioactive substances. i)…
- Draw the schematic diagram of an electric circuit consisting of a battery of two cells of…
- Fuse wire is made up of an alloy of ___________ which has high resistance and_______.…
- Observe the circuit given and find the resistance across AB.
- Complete the table choosing the right terms within the brackets. (zinc, copper, carbon,…
- How many electrons flow through an electric bulb every second, if the current that passes…
- Vani’s hair dryer has a resistance of 50 Ω when it is first turned on. i) How much current…
- In the given network, find the equivalent resistance between A and B.…
- If a string of these lights consists of 12 bulbs, what is the potential difference across…
- If the bulbs were connected in parallel, what would be the potential difference across…
- The figure is a part of a closed circuit. Find the currents i1, i2 and i3…
- If the reading of the Ideal voltmeter (V) in the given circuit is 6V, then find the…
- A wire of resistance 8 Ω is bent into a circle. Find the resistance across the diameter.…
- A wire is bent into a circle. The effective resistance across the diameter is 8 Ω. Find…
- Two bulbs of 40 W and 60 W are connected in series to an external potential difference.…
- Two bulbs of 70 W and 50 W are connected in parallel to an external potential difference.…
- Write about ocean thermal energy?
- In a hydroelectric power plant, more electrical power can be generated if water falls from…
- What measures would you suggest to minimize environmental pollution caused by burning of…
- What are the limitations in harnessing wind energy?
- What is biomass? What can be done to obtain bioenergy using biomass?…
- Which form of energy leads to the least amount of environmental pollution in the process…
- Veena’s car radio will run from a 12 V car battery that produces a current of 0.20 A even…
- Find the total current that passes through the circuit. Find the heat generated across the…
- Find the total current that passes through the circuit given in the diagram. Also find the…
- Raman’s air-conditioner consumes 2160 W of power, when a current of 9.0 A passes through…
- The effective resistance of three resistors connected in parallel is 60/47 Ω. When one…
- A and D Find the resistance across
- B and D. Find the resistance across
- Explain the two different ways of harnessing energy from the ocean.…
- Five resistors of resistance ‘R’ are connected such that they form a letter ‘A’. Find the…
Part-a
Question 1.The potential difference required to pass a current 0.2 A in a wire of resistance 20 ohm is ________.
A. 100 V
B. 4 V
C. 0.01 V
D. 40 V
Answer:As by looking at the problem we know that we have to find V - potential difference. And the data we are given with is of, current - I which is 0.2 A (ampere) and of resistance - R which is 20 ohm (Ω).
So, by using Ohm’s law relation we can find the potential difference across the conductor with the help of the values of current and resistance.
Mathematically, V (potential difference) = I(current) × R(resistance)
V = 0.2A× 20ohm = 4 V.
Question 2.Two electric bulbs have resistances in the ratio 1 : 2. If they are joined in series, the energy consumed in these are in the ratio _________. (1 : 2, 2 : 1, 4 : 1, 1 : 1)
Answer:We are given with the ratio of resistance of the two bulbs, let it be R1: R2 = 1 : 2 , the bulbs are connected in series , so same amount of current will pass through both of the bulbs. The energy consumed by a bulb is given by,
E(electric energy) = V(potential difference) X I(current) X T(time)
As we do not know about the potential difference in this question but we know about the current (same in both bulbs) , so in order to solve this question we need to change the equation in the form of current , resistance and time only.
Put V = IR form Ohm’s law relation in this electric energy equation.
E = (IR) × I × T =
, which is similar form of Joule’s law of heating.
Let the electric energies of bulb1 be E1 and bulb2 be E2.
As time taken by the current to pass through both bulbs is always same ,
![](data:image/png;base64,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)
The ratio of the electric energies is same as the ratio of resistances of the corresponding bulbs.
Question 3.Kilowatt-hour is the unit of __________.
A. potential difference
B. electric power
C. electric energy
D. charge
Answer:As we know that the unit of power is watt or Kilowatt, and the units Kilowatt hour are representing power multiplied by time(hour). And we know that,
![](data:image/png;base64,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)
So, E = P× T and in the form of units ,
units of E = units of P× units of T = Kilowatt× hour.
Question 4.________ surface absorbs more heat than any other surface under identical conditions.
A. White
B. Rough
C. Black
D. Yellow
Answer:Black body’s are known for their ability to absorb every radiation, there are theories on black body radiations which you will study in higher classes, due to these reasons black body are used in solar cookers and solar heaters because they absorb all the heat radiation and do not let them escape easily, the other colors white or any other color cannot be more efficient in absorbing radiations than black body or black color.
Question 5.The atomic number of natural radioactive element is _________.
A. greater than 82
B. less than 82
C. not defined
D. atleast 92
Answer:After atomic number 82 which is Lead(Pb) , there are the radioactive elements , which are highly unstable and humans cannot go near it as it is. We cannot choose less than 82 and less than 92 because they include simple metals and non-metals too.
Question 6.Which one of the following statements does not represents Ohm’s law?
(i) current / potential difference = constant
(ii) potential difference / current = constant
(iii) current = resistance x potential difference
Answer:As the resistance of the conductor is a constant quantity at constant temperature and same dimensions and also in Ohm’s law resistance is specified as the constant of proportionality, so the first two options are correct,
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and the statement of Ohm’s law is V = I× R , not I = R× V through which the third statement is wrong but is a correct answer.
Question 7.What is the major fuel used in thermal power plants?
Answer:Thermal power plants generally use fossil fuels as their major fuel to produce heat by burning them few examples are petroleum, coal, charcoal. But the majorly used in industries is coal.
Question 8.Which is the ultimate source of energy?
Answer:Sun is the ultimate source of energy because with the help of sun all the processes goes on Earth, like plants making food etc.
Also Energy is produced by the sun because sun keeps on giving radiations of heat and light without having any intake, but there are certain nuclear reactions (FUSION) are going on inside it which make this all happen. Also many of the sources derive their energy from the sun.
Question 9.What must be the minimum speed of wind to harness wind energy by turbines?
Answer:The minimum speed of wind to harness wind energy by turbines is 15 km/h because at this speed the turbines manage to maintain the required speed. Also, the wind energy is set up at those places where there is wind going on for maximum time of the year.
Not only the speed but time is also the factor governing the production of electricity by using wind energy.
Question 10.What is the main raw material used in the production of biogas?
Answer:Cow dung-cakes are the main material used in the formation of biogas that is why biogas is also called gobar-gas, but animal waste and plant residue and sewage are also used in the formation of biogas. It is the improved conventional source of energy.
The potential difference required to pass a current 0.2 A in a wire of resistance 20 ohm is ________.
A. 100 V
B. 4 V
C. 0.01 V
D. 40 V
Answer:
As by looking at the problem we know that we have to find V - potential difference. And the data we are given with is of, current - I which is 0.2 A (ampere) and of resistance - R which is 20 ohm (Ω).
So, by using Ohm’s law relation we can find the potential difference across the conductor with the help of the values of current and resistance.
Mathematically, V (potential difference) = I(current) × R(resistance)
V = 0.2A× 20ohm = 4 V.
Question 2.
Two electric bulbs have resistances in the ratio 1 : 2. If they are joined in series, the energy consumed in these are in the ratio _________. (1 : 2, 2 : 1, 4 : 1, 1 : 1)
Answer:
We are given with the ratio of resistance of the two bulbs, let it be R1: R2 = 1 : 2 , the bulbs are connected in series , so same amount of current will pass through both of the bulbs. The energy consumed by a bulb is given by,
E(electric energy) = V(potential difference) X I(current) X T(time)
As we do not know about the potential difference in this question but we know about the current (same in both bulbs) , so in order to solve this question we need to change the equation in the form of current , resistance and time only.
Put V = IR form Ohm’s law relation in this electric energy equation.
E = (IR) × I × T = , which is similar form of Joule’s law of heating.
Let the electric energies of bulb1 be E1 and bulb2 be E2.
As time taken by the current to pass through both bulbs is always same ,
The ratio of the electric energies is same as the ratio of resistances of the corresponding bulbs.
Question 3.
Kilowatt-hour is the unit of __________.
A. potential difference
B. electric power
C. electric energy
D. charge
Answer:
As we know that the unit of power is watt or Kilowatt, and the units Kilowatt hour are representing power multiplied by time(hour). And we know that,
So, E = P× T and in the form of units ,
units of E = units of P× units of T = Kilowatt× hour.
Question 4.
________ surface absorbs more heat than any other surface under identical conditions.
A. White
B. Rough
C. Black
D. Yellow
Answer:
Black body’s are known for their ability to absorb every radiation, there are theories on black body radiations which you will study in higher classes, due to these reasons black body are used in solar cookers and solar heaters because they absorb all the heat radiation and do not let them escape easily, the other colors white or any other color cannot be more efficient in absorbing radiations than black body or black color.
Question 5.
The atomic number of natural radioactive element is _________.
A. greater than 82
B. less than 82
C. not defined
D. atleast 92
Answer:
After atomic number 82 which is Lead(Pb) , there are the radioactive elements , which are highly unstable and humans cannot go near it as it is. We cannot choose less than 82 and less than 92 because they include simple metals and non-metals too.
Question 6.
Which one of the following statements does not represents Ohm’s law?
(i) current / potential difference = constant
(ii) potential difference / current = constant
(iii) current = resistance x potential difference
Answer:
As the resistance of the conductor is a constant quantity at constant temperature and same dimensions and also in Ohm’s law resistance is specified as the constant of proportionality, so the first two options are correct,
and the statement of Ohm’s law is V = I× R , not I = R× V through which the third statement is wrong but is a correct answer.
Question 7.
What is the major fuel used in thermal power plants?
Answer:
Thermal power plants generally use fossil fuels as their major fuel to produce heat by burning them few examples are petroleum, coal, charcoal. But the majorly used in industries is coal.
Question 8.
Which is the ultimate source of energy?
Answer:
Sun is the ultimate source of energy because with the help of sun all the processes goes on Earth, like plants making food etc.
Also Energy is produced by the sun because sun keeps on giving radiations of heat and light without having any intake, but there are certain nuclear reactions (FUSION) are going on inside it which make this all happen. Also many of the sources derive their energy from the sun.
Question 9.
What must be the minimum speed of wind to harness wind energy by turbines?
Answer:
The minimum speed of wind to harness wind energy by turbines is 15 km/h because at this speed the turbines manage to maintain the required speed. Also, the wind energy is set up at those places where there is wind going on for maximum time of the year.
Not only the speed but time is also the factor governing the production of electricity by using wind energy.
Question 10.
What is the main raw material used in the production of biogas?
Answer:
Cow dung-cakes are the main material used in the formation of biogas that is why biogas is also called gobar-gas, but animal waste and plant residue and sewage are also used in the formation of biogas. It is the improved conventional source of energy.
Part-b
Question 1.Fill in the blanks
i) Potential difference: voltmeter; then current __________.
ii) Hydro power plant: Conventional source of energy; then solar energy: _________.
Answer:(i) As the question’s pattern is telling us a quantity: and it’s measuring instrument, as the quantity is potential difference: so, it’s measuring instrument will be voltmeter, and in the second case the quantity is current: so it’s measuring instrument will be ammeter.
REMEMBERING TECHNIQUE: -
The units of potential difference are volt so it’s measuring instrument is named voltmeter and the units of current is ampere so it’s measuring instrument is named ammeter.
(ii). Alternative or Non-Conventional source of energy.
EXPLANATION – As in the question’s pattern it is first giving the name of a method of source of energy and: then asking the type of method whether it is a conventional or non-conventional source of energy.
Question 2.In the list of sources of energy given below, find out the odd one.
(wind energy, solar energy, hydroelectric power)
Answer:Out of all the three options available, if we compare the type of method of these sources of energy have, the wind energy and the hydroelectric power are the Conventional methods of energy whereas the solar energy is the Non-Conventional method of energy.
Question 3.Correct the mistakes, if any, in the following statements.
i) A good source of energy would be one which would do a small amount of work per unit volume of mass.
ii) Any source of energy we use to do work is consumed and can be used again.
Answer:(i). A good source of energy is the one which would do a large amount of work per unit volume or mass.
When we want to use something, we give it input and we desire considerable output from that thing and of course we want large amount of output or work done by that thing not a small amount of output or work done.
(ii). Any source of energy we use to do work is consumed and cannot be used again.
When we use some energy, it is in the usable form and when we apply it some energy is used and some energy is dissipated to the surroundings but the amount of energy we used is fully gone with the law of conservation of mass.
Question 4.The schematic diagram, in which different components of the circuit are represented by the symbols conveniently used, is called a circuit diagram. What do you mean by the term components?
Answer:It is difficult to draw the actual parts of the circuit which are in real life so, there is a way to draw the circuit with some suitable symbols. Electric components or simply components of the circuit means, the parts with which our circuit is made. For e.g.
A plug key, connecting wires, cell or battery, resistance or bulb, etc.
It’s the simplest circuit.
Components are generally the parts through which our circuit is made.
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)
Here are the symbols of some components used in making circuits.
The simple circuit contains only the main components which should be in every circuit.
Question 5.The following graph was plotted between V and I values. What would be the values of V / I ratios when the potential difference is 0.5 V and 1 V?
![](data:image/png;base64,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)
Answer:Ohm’s law was given by experimenting and making graph of V vs. I that is V on y axis and I on X axis and by the observations Ohm deduced that V/I is coming out to be nearly constant, and as we increase V(potential difference) I(current) increases simultaneously and linearly that is current I increases linearly with potential difference V.
He told that V/I is a constant and is named as resistance(R).
Now we know that V/I is constant, so let’s calculate the ratio.
When the potential difference is 0.5 V then the value of current comes out to be 0.2 A , and when the potential difference is 1 V the value of the current comes out to be 0.4 V.
![](data:image/png;base64,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)
Hence the Ohm’s law is also verified that is,
![](data:image/png;base64,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)
Question 6.We know that γ – rays are harmful radiations emitted by natural radioactive substances.
i) Which are other radiations from such substances?
ii) Tabulate the following statements as applicable to each of the above radiations
(They are electromagnetic radiation. They have high penetrating power. They are electrons. They contain neutrons)
Answer:(i). There are three types of radiations which emitted from natural Radioactive substances or elements, which are: -
Alpha rays or α-rays, beta rays or β-rays, gamma rays or γ-rays.
The first two alpha and beta rays consist of charges with them but the third one the gamma rays is made of energy only.
(ii). The table is here,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeYAAABuCAIAAAB9ZSeZAAAAAXNSR0IArs4c6QAARmBJREFUeF7tXQVcFdn3f0WDgIAgndIdSpeBiiIgmNjYq5irYid2N+raLSIgJqh0d0p3vgeve/533gMFdf8/1jWAnfv5rDvMu/fcc77nzpkzN85BQxCEQgqCAIIAggCCwEBAADMQmER4RBBAEEAQQBCAEUADL3vjxo3l5eWIuz3oRwQaDat70Is5cAUECgLMIzoauBr8GZyDUWFnZ7du3bou4mB8GBoa/oyeEJoIAggCCAIIAv8egcmTJwNDzS+w22VqatrY2JiRkYHD4f49dYRC/0QgMzPT09MzKCgIfFT1Tw4RroAndffu3fj4eE1NTQQNBAGAALDMlpaWvr6+jx494gPSZbKbm5ubmpoQjAYxAunp6dbW1tu3b9+1a9cgFnNAi7Z48eLLly+DWUrEZA9oPf5A5oFZHj58eE+T/Xn5kc1m/8CeEFL9DQEOhwNY4nK5/Y0xhJ9PCPC1w9cUUhAEvjkYkB0jyMD4HQhAEPLy+B24I30OeAQGr8lmk1Li4pvIrG+riENJjo8pa6ENeAUOTAGa02/PXrqf8L++6xjtVTFxiaS/0eHAFB3hGkHgXyEweE02vS5kS3BGA+Xb8DCa9wWvCs9p/1fgIY2/FwE2vbOhGY/9X6vd9PLYtVv3tA/eQfq9+CHt/rsIDJKnAWIyiK2tLS0t7R3ULmWiMcLCwlgM2OgKUclEJgdFJ7W3tLSxuuYJ0cLCouLCAlRiW0tre/deZYhJAn/DZCjML/cvQywangSIcwAVEpXJZTI6eT3iiXRej9zODgKV1TVTDCp3EMn8+4Q2QLKdwkAmKD8/ZmgMDsOhvbp1OsB/2roDl2o6usApz3y0dIn/rNlL3qbXAb3dvHGltjhnmZ//ggO3GJT2R9s3zfb395+2/OyjVDq3t4Ig6oNL++9GJ17as3TOkuMNHfV3Nq2dCerOWHUlMgdQb82PDj54m/9VBVEbLxw8ktvG4VKaQ/dvAyTnrwxJKK3775oBRPKBg8AgMdnFEeectHU0NDR0TV13XHz3+UsajUWhmFc3zxnvHTDO3lBDXXPy9IN1wMZiMBg0M+Kv/e7WuhpauksO3oe9cU7rkVmeeoCKhr6z5/LUms6eeiRmPxw7YfKfC2fpa2pvv5aQ/fjYKE1NDQ1NQ8uxR+9molD0C2sCtlyJ45vpyCNrVx6JgrgdZ7YEmujpamjoOU5ZltVIHDgD4+dyihUQKn/54Myj5CGyQ3Oub10YfAGorC7x5qLVhwSEVRWk6FtWLntXyZAeIoETFJQaKiszRByNZnXgMLJKSioK7HN/+F+Nq+7NIis1+mbQwqUJ1Wg5OUkMClTGDVNSUhxKOrjI725Oh4S0+Pu/jkSXwCqoTrp7+mmBghT32pbFofGVCvLDcMS4M7ejkQmYv9M6l1J1/cr+vfsOh9+9czsilgEeqqayR0eO7Nmz58CxW3n1PD+JVHvn4b30tDcn9+w5ev5eK4WZFh0GKtx6nclzZFiJL++/SEkIu3AU0Ekrw7eX5xzeuyfk8v0W3pcwo7Hs0dFugnXdjtcnhsj19x4+KvlYEnpsz7WwdGJT2f1DhwDxg6fuFTczQa3c2LCwhDJ+dUZz8YPHr4DHxGivuXXu9J49+688+tDJgKsNhgL2ZZuYmMjLy7NYrE+7tQfcBY3UXlldXVNbm3hzi4756IIOCKIVTx89NrqMBEH0I3NdzNyWvc0pLo57MkZHPuhGFsSt93NUN5u05kNKSfrDswbDTV9WMyCI1VxfU10DyJSsHac1LSSiJw4dKdeGyQ8P2nerqKS0hUChENv4Pb46tWSEvV8DCyp6vNXYJbCJBXHIpX72Iy+ntda+O22o7hrzsbqqqvDRnTNxZS2/Edjk5GQwXrdu3fobefjUdX38eYfRS2po8I22lCuGI8bldLYfnOk0admeqOcvX0SFzXbUXXkpmVpw33bslGr2p3bc2oLsd7EvZrtoBhx/00sQLmGdv/WcY6963GRX5WXHvHnqPUp1xZU0CGKfWjxm1q4wcLF/pvuys+8gCL/ISH3G9lttZHjkU+kU7u+GZuHChUBHpaWlv5uRXv2z2ksXjjc1MLNwcR09SldW2yMQz4UI+S/mjB07eswY51GWxiNnFVMhqOGDtryoppHVaBcXNWU5Q1MLi1H2Li52irKalz5UQRBj63RTYRkN19GjrYw1hmvoGVuPcnN10VWTm7r2CoMLtee/mDt2HI+glZHNzCJKbwwaEyy0pGzMXUaPcVm9P7wq7/msMXDvjjaArSW1TCj1cpDZmJUtTLhVRMhc53mnGPTGtT4OI13Gubm6jrS1Pfgss1+h2kdm6urgjz+wye9Tffh07CAw2azOxmdXQhbNmO5obSSt75DSAAx1SbfJph0OHL/7YRFf5mf75o0JOAVBjf5jrc/Ht8K3GHUBEy2vpZKBya4vfHd43dJJnpMN1OXGbb7dE1ZC4sURo2fV8qwM3Ahf/fDsrnn+/vYWerKWnsXgJUEt87UyvprdWR61y8RtBRGCmjMe2apqTv9jR/jb5CoCGNS/s/Qvkx13zt1nPZ4DA8LuzJmkbfuioWydg6GimpaGhro6+FrSN9pxI7k17YaNu2dxJ1yNXhW/fIKViYGh7gh9OSnRBadieqEJTPa0kWtv5/BvUopfznc3MzYwGqGjO3SIaNC1VHCz7u0xHae5mUmRLtZWryvBGxoqi7viZmXtNm6886RZ1+Iqeez8ztI/TXbCufk6djOqO+A3Z/at1Zbey1q7vDtuR3NTQfw9SyOdm9lUqOm9uYXltXd1oFrS3c0mdtOL8eCZgk4Fjpq8+xnQ8/aAUV6b7gPcOW3JtnomZ2MKwK81Ebu1XGfVdBloQLC5IOG+lbHOjXSe1j+VhgRrS6OTkcU9brHxzU25b64YGRs9K2FA5DxPC+u7mXiIVTlt5Kgr6S306igTUe3b2U1wE05rfTt4RAde+dpkD46JEcrZZZ4bLr+R1beZOs5JUlTw6zgaHHbXV6+YqDCay9+pACbAwRcevA8WgxPCCQl2Fkb4e/gmEIWdnN3sjVXAPrQvP6O4HH4LFLtt/+yxux5mKJvY+oweKSqIhTfUiqh7TzB4dOrchUuvXKf7SaBQwyx874VdMFbA3Tu1daSjd0QBcljpM6LAPgrwRh+horBeTFZNXFJ4qNzCg48qKiorKyqKC/O2zbRCM5ksCIUVhqslht/6gNd/mJBZXFK4ZaY19VvfudzuHc2v713PRtlGJGeXlBaunGJCZcDaV3KcOU4wd9nyHYIW81zUBYHi1R0WvE1LDbsbOscQfWTjzkZkueEbEwesrIwW+/EzVCXBHCNKSEgcg0ZjMaj2jKfzPR3tbe3tJy7JbWRhURDw/nDikhrqCqCapJjkUEE5WWkx+FpWjs2GJyUgNEZJRwPgjhIQU8SIKqkqg0tRSRkMFkxTovCZfIJ29hMW59QzsajeyoC4WDEZQwMtPoMNCXdnejjYj7J39AkqaeNguByUmJGvi/Rfj2PLX94qFBsx3khOSMFuxXLjLT4ePjPmrDgYzhQET+RgKIPCZEP1b+OYC3eEHti2xmecCQ4FfIBeuuFCnOb2NnCrszY/9F6snrszisPuZY/BaMNBdfkZeAmfC5eOr1+/QltegMP52whKXHplbKrQmkNX9wQHeTjoYCDggADy2El+fo2Rey7nC/t72oG/m6sK8OLmW7ZsvfPgvr9E4ZuUqsEwZH6EDBgM9mNq5K7tRw4f3OPlvV7Fc+oICVm/APfrO2es3L3nyJGDa+bNOh2ePVTPWKC+dPvWfefC4nGikvTGxvvXzuzdte7Ug/eAQm9GIBaTweJ0aVVcQpxYU3vn8omdW1ddCU/GYnmVBYb5TLFOKSqZ6DcB3qvCrdsxe+7a3SGh1+5/rK5RVhrOezUg5UsE0CgOhdq18woYa3BkWgDDvXboYI2s+/336Y1F792N5ehgfR+2ylw2u+vEFpfTdTYPbMDnh7sChX8POEMcLpfFu+Ztz8cICjKvHzpUzSdY/MHddFgXwZ68QFwWi+9skc7tPUjU8QlLyGrKezlKW4rO21QwcdZ8SuSRVQdeOPvMGy6EQglKLT78JC/73fpA39pHR7edCB8cEdEGhclGq0+epnx2gZ26hsn0DWcaOxkoeIRwGXQ6cOXgAYHmRhwNGqGpoWs5oUl18mY/cxSLxaDTWF1GGWIw6MB9VrNw1RR4ZammbmLleu1N4Rd2H4xGGh181cFDBiOiO9lbYpeXqYa2ReDem+2ULhd+iJHnOKshGm4+NsMFQLXO2owgXyct8KFvaJUiYT/HSQ+xB3wEBKVV/TzcqXWpYeEvrOceubZ1NhiIplM3h51cWZv64smTFwQ52wkOBuihVpdCFrYnPv8Ql2M9a8OuFeqvHj6qwg9dtGK5qfrQ3mAKGFo5GilL8m86Lw3eNFM68tGTVqbKohVLDZSG8G6jdQ1NrJ0nTh6lwdOi4uRZLp2J0Y8ePSxRG3Pm7DaZL94CiLZgBATcpti/vxoSciUiKjJ015GbFDowwBCdDMyueH1B8pUboWlFtTgc8LMhcIKa/4AAmwxsN99E8i75pzrB//n3IDaL3X0JbDeoyaaRQaNugoU1MMGehUe8e5cQm05Gczki1bnxF66F5pU34nhvEjkTNyu5uudFTP/JsMPUWhHz5x+7nyckUTg4bWmUAPeLPUYDVrtgdmcQzGVDXHza6/CwpzHVtVUJqWl4MOPMIWelpLRQwBiiHgn0WBny5Hn40/DoeN6MHNA/JSMlvrKNNzPNpuakJ9bxfiDUZUWGhb1LKqwqy0opgmflPhUmvvpdchale42Wy2pOin76NOJDXV3Fh9RMEjw1CiZc65dMcbkcX9vdiltTmBIVFhYW/aKik/57J9L61Vz274GCQz24yGnesde/p/c+9No/57IhDvHRiT9HqKlqu09cE+g9es5uMPPcXPQkwFVPSUlvwbJVE32nPM2nQK0pvjNnJ1bDK4Clby7MnLmDt1IEPT68ePGpl+AxO7Fx2rZ78Bogm1i83GNqdAU8udyecnPMvA1NDKilJGyOG4/g0lUTfbzCcgi9AGtO95s580Nl10NUnX3L305bScloyR+rxvlMffOxa6EoYq+X7ZJj/EecQaw9FjTTXElJSU3dd+uxZvxvfgD7oP9vVBm0y4//LxyUEyu99z0GXvNPL/WxZxwmB9b0y7GBmGyIRY6+G5pT/8VehJ8+KvreQT812RCXQsS3NDe3NFf9Ocd1xo5Hv32d9puQcojlMz3szr/75DD1Hfj+W3OwLj/+/984IosP/BU0UecXfAjJjZwbdeuECphHQ0o/RAAn5jF9oYmiaD9krT+zxGW0Prl09Njx48eOne2QdFy/ZEL/nE6lEztMHKeMt4ZXNQdx6Z/g/1jA0SLiQ0SF/tfh6B/RpwDoSQKxCD8CSoRGv0EAIzRs9rq9B0AJOXTh1C6L4SL9hrVejIgqWfy5ZYPaYH/+/gsmu38OMIQrBAEEAQSBf4xAl8kGu3CQlDT/GLwB1QBEXAH8CgjAW1mQ0j8R4D+DIiL91I3tn6ANbq6+HgxwVhpzc/PKyspTp07BO9qRMkgRALlOdu7c6eXlNXXq1EEq4oAXKzQ09P3794cPH1ZQgA+kIAVBgEAgrFq1CjyzDx8+7EIDmGyQWwyBBkEAQQBBAEGgfyLg5+f3aVPLZy/77NmzXYfE+ifXCFf/DoGysrJt27Z5e3uDWKP/jhLS+mchcOnSpdjY2OPHjyNe9s+CeKDRxePxK1as6Olld6XrBXGfQSrfgSYOwu8/QCAnJ8fMzAzk6gUZe/9BM6TqL0Rg6dKlFy9erK2tVVYe5DvVfiGoA7srYLJlZGS+ka4XPpKEpOsd2Mr9H9zT6XAqBhBid1BLObCF4z+DNBqS325g6/EHcv/1YEDWG38gvAgpBAEEAQSBn4sAYrJ/Lr4IdQQBBAEEgR+IAGKyfyCYCCkEAQQBBIGfiwBisn8uvgh1BAEEAQSBH4gAYrJ/IJgIKQQBBAEEgZ+LAGKyfy6+g5g6k0Ym0/h51VCVCff3Xovuh3m4OOSaCyfOlnf2bZ8MiDJK6qSzvkog18+1CGLDk4hMfkYBFuHamQOvCtr7IculcQ8vPorrY2oYLotOJFP6qSa4bAA4LxMOKBCNRKLQfl369p9nspmJrx6+L2rph0MHYemHIPD27JJFh5/ySTXmvb0ZnfJDyP5YIlxac/jDsHpy394mLMLm+W430sk/loefTo1YuWzmmOhyXrIuLvl52O20KtJP7/Sfd1Cb9y7iXW4f2zXGXZwSuLGzj7V/cTV88YLp4z808HulnV0wa8OxV7+MhR9qslmEnUvGX0/B87inP7y493Zc1S+TpA8dUU/Pm7Hum+ByKQf/mHj+/Q8+THRvz8zgW6l9YGzgVWF21mfkln7MToiMjMyqahcUEpEQFyPUF0VFRmaUVH+Sh0GsevUq8uWrD0TYHed+zEkrrOt6DFkddWlZxb2dE05LQc5bQDHyRVpRI98day7PyalsbS7PiIyMaaLA25bLiz+AGpm5ld9EjYIvjY6OfBuTROWnCURjQDwsbFfqQVRDZSpom5xW9Kktk1z95nUkYLGsjdRSkVlQ1pD6Njzy1ftWIq0sP62ihfgxM+b5qzSeFWdmp78CzRPLavjNGe3VSTmlpLbaV1GRcRkFn/zHhpI8UO3569QmIvUXqLa2MKW0oj7uxePIt4lEKldUVFwMx85PeRUZ/bqV9vnzoryIh1sejBtEaYpLyu7Of4eqKcj42NTLynMpHQUxsCqiXiY1EHkvPCYxPSO9taMzNTbqfXIp7P8yWz+8i4yKet3y7Y8YqCg3BlDIK6nng4DFCQoJdsdA5pKSE8Fgia5t+QxRZUk8qP86LZtII2dnZdR8LHwWFhmTXcEmNSVlFXTiG99GRWaWNANStI6yly8iI9/E1HWpmVtRkF5UW50f/yYq6kUNnsUlt76Oinoel07lOeocUnvumzd8pTSTPykKKsmPhQdwakZKWnoHGIuU5uTMPCKh5f3LyDcJ6Z8HJ0RJTXoOWlc3wQOhMj+prLIuNupZZEwyiSU4ZvECXw9jvowcWkMsgC36RWEDnGz2pxRwiOZHJRIj1WVOGam49lJsYUk5iYrfNMt23c0sQlNFYVExiclP7gMXSmdtYWFhbX0b/AebUllVS2Vx+T+R2xsa2slfpYjgNtSVgCbVrYRPNCrKCguLS9oZXfkxiG31jQQaraOhsLCohfg57UhLbTVoWF7TxoZAF+zkp/ejk8r4RDpbQOXCkrIGBpdLbSma6ai89GR0YfFHArU7Vxhci9veVNNGYhJbAZ0iAg1OksQvNDLcvKqmuUsoQlNdC5wYCRRSW11dayeDjN/qZwASvwNGW4h0WDQClcfhRyKckxLqbK8CFD42dFGAWJTq2nomi1lTBvCr/pT4g03pLC0qKiyqwFP+VbabH5uVpj3vqaWSiLCENDint/JaUuH9TRI6pk72dirKiorDTa+9h0EmlMZMH2espaWqqao6Ye7eFhbn4RZft0Un6bC2uY93BYxbco6ff627kEJX+o9QUVVV1VBVNzsRngPuP9rlq6Zt6Wlnpqzs8raa+OrKGnNTQE9Vf4TJkTA4K1XP0pj11MvFUENDVUtNberKU3g2xGlPn+I2Mb4eZIzjJj3YPdJCB7TV1Rqx+VIMaNjxMc3bXldRRVFZTc3We8nJbQGSIjgpOUVlY7d3BVXbppuZWrg5muvoWQZW0aln185SU5MD8spp6uwPfQ0GdEvMSVFldTsnVy0VZXlZ1W03EgDN0pfnLQyNVFRUVNV0xiw/2Nk1tL/g9Nt/fl9WmvvbPUSEBIbKKymP8i0oKw+cZKRj52FlqKUwVNpmyqZaeNSwo86v/ITbsYhciFw4zsD0WmoDzAe5YJKF3c20xl6aKH3jY6ALsFJW1rJwWVYMHilCjrOpkruDh7Guytg5pzs6Pgb5W44YoaquouLgsTSv/fMDDtPhMu4dmmtqrAEoGOpZX475CO7FXgzyWXOB12P9rsWO+npqqqoqlnb+H6oAdXbkmZ3amjC86iN0V+w9u9BVTlBYdLiSst3qS8ScBxpqKl4ubtqqqqtPxjaXJI631lQEQ01FycDZP6cKWAzGvrk2Q9VHWOhrDxsqYThq9Gg3J01VFUkZ2SV7ngDO8DnPJujAqldW0rIdv64SDDsuI/LMGk0NWdCjmba6jLZJEsh7VhqmqKlk5TRWX1NZTnrYogNwW4javH+5q74+zK2FjTfg9vYmF2EhAVkFZWX7GaWdjCvrvFedh4cTpSZ/lruJkspwZVU1E1eflB+RnurnJhJ7cWwayJsJgBZTtniZU7Vvgb3JhJkOxipiwsL207dUk2BTWPLuqrudupiYmIam6dnIXIheM9121LnYSt5wwW+cPHrPk9xew5nLenhkrRbcQkzVdNStlHqI1LJt4Rg5WVGxIRLGE+fmlMOGMmzfdGU7zwkOxmKiwvq2finVnUAnMdd3m2jCLeU1LPY+gB+n0I3TN16JAxfl7244mOiDn6SGjVhyIvzd1WXCfM7l9a8nN/VggHFshZvuaD83C00xESHLiStKeOkiq1MfTnLRAc1VVPVC7iSDO+9OL5yw8Sq/4dPdkyduvlUWc15JFIMTFBYTH7YrPP/1sTnGdhOnOxmKiZlGVRBzom9Ym8oBChKaulvPRsLPdX28pZX+ON/pWvJiYpLyq05GgOHCasxZNNlZWkJCTHy4le+a8s7eJq5PdqCr0o812YDok12TPomcei1IwdzjXSZ4/bAuznEdtyYUPEWHA8ct2HOD0EEmNOTPdLI6G1tLq4qwNnZPamRB1FK/USNDU3qZiS5GQVpkGuX62tFW8w/Bmt3rp+U8N7uaCI+PwggXp9GRyWVkMjn53i4b10WNPQ0Fu22Tv/Pak2FEErm1KsnTxvpuZhtEzAYmO7GZQ29O9XR2uPYyB7QtenvB2mZKOZUd+oethVdwK4kNsRiF8fHN9TWLPEYcf8sfAJ0b/S0c5x2oIcJ91MUcV9MwiUyH04Gm3wsZYeSe3srpiD87TMfy5ssScPPNngWWk9ZSIc5eDzOv9bd4FNpSMtPJP99kQ235Xs76d7J5b3R63azRel7rLrd2QvSyeGdtnbtFTGJJhLPTmOcp5UD2pLs7bdyXtEPQ3WBvj+WXQYvcO9ttJq9t/dbI4jAZ7ZVxbsYqp+IIECnfxUprxZEIEiwR58Gu2ROW7W9oJpMJNRu97dZchB+rT6Uh6bqd6+S47FrQ46vzq+y9NpEg6D1ssi+COh/OrXaavraippNMajkSOHrWnghic+IoXcWD97JhCWpK09M/lj0/aDVxbj3PR6Jk31HVMTwbnsPzYziH5hjazTwIHgVWZ1Owt43Hxtvg7v4FDrazDzXQuJ01MSbq6huuPgeVi+5t1naaVt3twrEZjJbil7ZGGjey6dTScGMt1UvRxaBtS/JNq1HmCS0Q9DFcW1f30J10cLPg5m7jUT41bCjt2gYH35UfqzrI5LZTKzz8tz5iEXInOBo/K+GrlnthjU/QhVhwcW/zGD33lfV4BkjtXRL/vuabmPaEqQ/XPzeRmOu8fdOd1YNvplTnvHU1kKKChOTsIYdvZVSkvxRKuBORS+AQi3YevOaz7n5DQ8OTkwHXDx9pFFCZ5al+/3o4+HzpyHzxrlVisqN+z6+J5qQr605EbDn9vrq6OnLvWlUcKvbauivJIlHvS6oLszwFSlaGXAPfOSDlM5PIXLI7rLos35mZe+15LopTeWTz1VlnIpuamlOj9ukrgGQVEIvJZLFBddr5LQc1Z4Y0NTVVZN1w1Rti7b9t3hjN1ZfeVRcmTLOU6/U5w+XQ6YLbL8RV5ycqFUU+AO8Meu2+fadt518CUry+se7p6YMgWSh4V4GY410N0WgOk6buMG/1dIup225VVxWt99CjMljtncxZIWHV1e+cRT6u3bDRenooEOrlkaDwoxsf5JFRglgOmSg3Yvy77Op3x1e+uXSmgo2Kv3UirV0/p76huTFpx3xbMCx+yqfWdxGFc2l3Z6EHWbSHm7o5mw9DoXBWo03YLHA4npj/Ie/RsSB1NUV1fcewhLzyyjphNY8xmu233xZWxd4uFDX1sugdYhSipYefCfBwMjIw/uNSAsSDk8Platp7mKpKgOvmypLi5MQ5E6wUFRU9Fh8uLflY1+NrHmI1FMblXtm5UFlJUdtswuv0wvK6djAxAhpisGhK88fixPR1M1xAW1ufjXmFFeVNpR8S0cv+XCYrjkXhBPXt7YcNxYEU4KDAHQOsMYIjx01SkYBTfWen5Bk4zvOwVALXltNmWQvScisBca6UlvlY1xHgppmLBU4QxATAjJszoeDWNu+AZfvPRAgMNxTrHhTfhXHfGvEY7hob4FpIwnnCBNkhKCFVLT2ToTQaqw3glpIwe7wlkH38kiMfS0prqKjxvj6Nmc8KWjruPw4bOWm6rGCvvthNhWeCA91trHWtvRMqqVwWA2RNx0gojB4/WhyWiJwXn/f+zmH9EYqK6iZnn6dUVVT3HJo1xUVFSTFersagR7+NV8pLSsF6KG96Cv4vPyUvLeqqhYmKopLOrlvv66vLizNSUPI+S6aZgl+FVHQsLbXRXDCx1S0Thy2mbDDO1QTWJbsqM1skcM3cIYIo3BD5OYumdqak0lEQCo02cnQYLoweIqtoIDnc1t4OVFZU18Lg0CC9O6s+9+iGea7WVvr2MzLqWRgUsyY/R0rDZ5qHLiApKTNMTEAYRpHDFlEY4TEOjmyqN8pMaigazCsVpualv7xlY6amqKgVfC2m6mMZlQUe9m7mumADg4QQE0teuH6VorQgCo0dYe+k8gWmfVPm/6z1I+eyBUUkRASx4lKyMkOlBHBoNlpgwpzlo0zkhhnaOLor4Dvo5Nq8jHc5x4PnWltbTws6nZeWltuMcvebzcgLz2hnPr//1zB7P2PZnhm/uLHPYo291i7wtASxUYw9/RwtpN9El8zeuMXaQFlGSWv97lXU5KQGLorL5ZhOWjDZVUtmuJaHrzGIpYJCy420kwkNXnfq2oNCiup4RzMwAnhwgH8FLFx0313cu+fElfelmNGjXURFxISFsGKSgHNpIVwvTDhctMuMpc7WijKaFu4T1PF4KrOtKPVlZuj+ZUAKr8ADWalpefV0LPYLJCGsgLCYsICwhJSMzFBRQSwIH2Ewab6nrY6MjFRbaRpV0H7jpslAKFvvBf6WivGJeSgMJDRMd9HyOcoKMlbj3RSV2fhOlKqZGVT9cuOGPWFvSnRGempJwmkK+knhcrkY7GdlcdlM/rwplwMeH/BkQuwhqsHnwxLiE+LjP2Tk527yBSrA+Qf4Zl7at+Nk7Njps3qpGoXCl7z9Y8V++UnLbj94GrrJl90dDoXD6ppU5EIcZesZr+ISQIlLTEmNu2UEW/LuAh5wGb1Dt6ITExLi4z5kFWYtc9VgM7omcyEuV0p//JPYeLhtfGJ2VoS9kgQWy2H23B8CKEAQjp8FArYt4B3ftSVGWBhHpxL40+MoFrmVzRUWFABDCeKwmTzuuBwISA1YtpqxLz4pevF09+rYOzN9V5b/gq0EPGdNQIBndGHgYdeExxOQhm9cOCo2M19345by4Ya+MErS1HO0fMehLdve1qjOn2Lee1Bxw45vOf+mKfDAuXfPH46zUmayeQYZ4jL5lIHlFJKav/1qIoAzPi41K//s+sk9HwCgKT3XxTHxMNrxSanxL84ogibdc8gcrPCkZUcT4mFFJWXk3tw3VwINobjMnmvEQF8oDAZgzC/Ab+3qGS0sJEglkrv0Quok0IVE+KOQP2BAQzaLTWfAfHI4gCRGSIhzP2T99TTayiOX3kfecTKSY3LYNAqVgxPmv6cEgLUCDHR1xGEyea9AeAcOBtxmYwUnLAqJ44uSlvPwxGJRFhXIIiAAv8u7C6iMExaGmL2E6A3qD/rrR5psGC0uGCN80eF/ukc8AE4A3Aewi6nbbd+7f9/evXtDjj16GmophRLRcnLTQV3cf/T2W8KcgLFfOCUAc0FBsZ7Q8AxFF1jAUgMvDIwm0IoDHAFeQaNwYJSiMBLbb784EbyA3Zq7Zprvsn3h4BZPWhjcGftu3zm3dZhQx7E1C30WHCWisCgu9GmR6gts2V3PLRuFFsAAJXJYAsoWm3bCUuzZf/hRxC0HRUHgvXO7vexPayyAPfiJ6S6fOIRZxnxSOBgbEBd4AvCnAodB50nBBc8/lsNAaY5eFRF5w9VC9dVfh0a7zUqo70ebGYYNU8jOzswqL2/qpPEMRfcTyft6RaFkXG2H3g17QhERk5ISqc9MyKmEV3dNRnvLtUTdyof8PO2/wJlKaCQwDNzcXRXlcOn5+dwuZ7fb7UWh1A1GSZETb2eWS0lJSeAIyS/eE7qfNFjvwlqO5rhrYVFsiSFSUoIVSR+KWwgYHAbmhs2VUrPUFC0KjckC3EiJ0TNevm1DKXlPUT+2dt2HjOLyovz75y7W4LHSoqIxifHlVbUUBhe2dd0yWbm61SbdOHH1FcgUcWnD9kJBBWttKQ4bnjP59NBCEBqHZT27cjWjDTI2tV0xY7Q4vojwCzQmKiEAod8kxZfXNDBYPb59eG4qmwkpGdgOISbc+YzbBwL8gEjNmGZ//9qZIY5TTb54eaKYVeUdCoaTHY3UiJ1V5bWN/OQnnzWBknBx1X0ZcaeGi5WSGtJZnpmcU9Zz956epT239nV4SSMAWwRqTniZACJdwVFDeZ+J9m6WmTF38kgs8CurKT8+sUDbdpwM5dWf2/8C8OZGP77zOEFaQaWpuvp9Vml1Swe/6y6csYqubkonNgan5pUXpcRu2/mX4Xg3YLJ5cyZdVXpfAgeCWVlGVjOfYq+v1N5eXt3QAnFwutajOgsfHbmXWl5WcOf6lfJ6Gs/p6tEUvgYaRtm6Wue/v5fdSQfcctoKExLycJJDsUzOm6Sk8ppGJjxM+QN+yBRf40ub175OzCsvLX587mxu9U8J7/VDTTbwT3CCOZXVdDoDfGD2fiAhDgeSUDKQF6gvF1L0ASG7vZ1kOFQm+PLASMye5vr0zNZyRTd3A5nerTDO4+3yo849TSgFgegq416l55Nc3JVvHz9WXEOgdzaf23OGbWGlgoEV9qkhwA+NxnBZTc+ji6y8/LfuPHx8tkFRcgKwhTz7CUQmx0TEK9iOX7t+25Wt/sSsN3iagKiQcE5FFeCc/SXnPd8X8EtJSE5XXQpfyJWcDKSY6qaAZTExXHEpqY8v4mrxdHxe8p2oTDQGfvGLi0nkV1SR6HQmbJE/F0VdSwFK7Jlz74BQ+S/u3kytshlljALPfy/h0ThBVHFybJ2g9qLFK0JP7TelJudV/wID8IUh/ds/LXyWuFGe2puYHLybDiblYa+TV8D8PXhpgZfS3J2npsgUTBhlpKs7ct3F91ghcdiwShpOHmNk5TXddnhPJwVuONzIc74/a77liJFuC0s6BSXE4Ez1OAGhT69AUQ2nMyfXZZ9fpqura2If+LqKLdzlIPA6Rov9ceicPfuts5m+rq7jzjsZAkIiwPMVEhJCc1lYKf2j5w+Qnu8C3OiZ+9/P6hRAoycuD5k7kuAz1tLE3uViZjVuqNyywHll52aY2E/JKSWKi4kJdn9ySZpOCw1ZceeIP1ir35vZeeHkEW0x4DbigMvHfyejMQJgSQqLwWFpH3f4OOrqjnDb8yBg92GroX3F8/vriamsXTDldbCHxZh51Q0McTFR2D/iMSUoJAxkF1J1PHtibcY5Hm4OgW+7cTNz8rI0Uvbz9/pSEyhhv43zcBnb9XSNNx16Iig5jOdfACSFu/FAj12+f70zFDjRUlfXOGDHPRpuSE9nS9rE63zIvOh9M0GPVmOCUluwwJ/lDQyYkPmMzSEBmltnO+jq6k9aca6FI46TNDh2fFv5m2AAr9uaXdVowaGWk4Is2fMczWdsuYESEBURFvrk/Exbd2Wace04RxNLz+kCE4NOLHAHm1cEAG0BvjVDC4FvIl5t8BgKC+HYLJFZWwNIL1aN0DXfffaFkJQchs0U0fXYv87n4h9jTBzH3c0nycooioAvWDSoL9QNHg6MHA4Tpe+z4fAig93zXMDAmRB4soEljhLT2jB37IPVblbjA+tJLJDrS5DnRDrP27VqAibAe6SJje2xhBIh8Z+TtA8YuB+1YwS8auKvblIaJiKtbvMht2rrLOull1N5H23krbNHbn0MVmm4mZHHLM0VpaSlpWXVnSZtAdNC8JsXX+JhLLHqOrz48GXhUEK3+aipDAEt1AwtrsbXcPC1q6baDRs2RHqotI6zT3IhWOiF7m+f7BjUtfr3ZLeP795wLrNmraejuixoJ61p7XA7Og98JZ5ZOemPc+/Ano6TK6fpDod/G25otPfiS2Dx0+/vUVcQk1Y0epTavYUDZoURstB+2pFXPK5Yx5Y6rbiSBq6KY0MdbFRhKYaqWrv9UUhkU+sz/Ebqig2R1rNyGWOl4LEerL9BVck3zTUkJaWHH39WEHXAz2E1fJNXOB9unzTSlQEEJNU1gw7chbfM1Maaj7KLLuUtItV9cHF3S8VDaQ8P24xQheupKvss29fMWwr7vvLDlx8BG0xqOwizTqYwWDRiW0fXVh8mlYjvpHSvujFamkGVZiKtm3NSxZyJzqFxtd+WgkMFgdtb28lsJoVPkEYitBOpPSvTeZ02NXd8GwsutakJ/N5CZvBY4DAJ7XjwyuRTYDE6wG+NTXj+j7zC47C5mQre1XDhdgLyTS0sJpvUAXr+vEcI/EbshIXB07qW6jgMSiu+g98OXLcTOvn7fEhtcPT55k6w5PbPyvftGOH1wSa0AkzaOCx2B6GNTOdhw+V0Etqp4IwNr9ApbbDoLZ9x+/jyuNPUtV/s9fjEMZ3YCqpT6SwSkQAT5LLa29tp3Zu7eNU47TySeFIvlD5RoJAAhcbmViKfAwaVSOixm4uAh1XR1gGv53dxyNNscwe81MwjTwaaxBPIXBattZ3A+rSJCv6N1gx+a2nt7phL7mzvoPD0wmURWttovNocJhU05CuI1gGU0kxjsIideEr3TjMykYAnkuIf7xs5egVYfYTgjsBo4fXOorfjCZ/E7SDAo6qN8GkostpbAODt4DOfJ9an1VtWK+inqYnSm91PMv7Ti5+7Y4THDa28ICUpNZtModdXFlW38h9jTn1FUT2hSzeE5uKkpKTk1IJWStdD11nyfPRY35z2XjrpIRunrCQNNCmoaeyqwSbkZCUlpabWdyOFry8rruXtGgSbkRrKyxsI4IJOaS1ITQYNwQcy/6eWmrKaFnhAsFiksiyYZlYlvAeAVxhVRalJyRmEXuOP21hVDL78eRW4TdUlNa1dy8+k9rJkQDs5r4nYNWxI+Dpwo7gOT26tLq2BBwDcpDI7KSmlpZ3S0VheXAO/XT6V5vp8wEBGWWWX9WAQwW7ITt4OOIhJKikt4THCaSrLTwH18vK/3vzYk9r/vP4ZJvt/dvp1BXzes4XLNlZ9fk6/g8agbfIvTPY/x4RFDPa1WHb+/T9vOThaMG5tmmZqBBfdESYhT77cMNpPhPzaZHdlpWlubga//Z4k6xDr1p9eN9i+L48t/AWr69//+TnAW6akpIwaNWrr1q179uwZ4KIMWvYXLVp05cqV0tJSHR2dny4kC/82Nlt/lJPikJ4L/j+9237TAac67X1iUR1YstQxtLO11O43jPVipL6+Huwc/0ZWmt/JLkQTMfTdudwHsde/UwtI3/81BASGuo91+6/aa6BsrJq124w5cOm39vqbQ/KHLj9+36DHDPGdu9BOW/r7WiOtEAQQBPqOAERr/xD7qrEfLWP3nXekJoxAPzDZiCIQBBAEfhkC+NJtG1emwWE/mndMnnHxdfE3e/748tSSnefhbKFwKJW0BfazY2uJv4xHpKP/BwHEZCPDA0FggCMAcTo7CGBDNqWjpbWdCE4DUNvbm8Gp35aOnjFnGTQ8OO7bSaSLiIphMWBDqZjVBHcDFfjrlsugdzSDFk3tHbytxBxWbUlmUnp2DbhDomFF5F183JTEu85HclhEULOlo9uCc9kdHR1gEyuJ0NLc2iPoK8Rpa2lpamqj/PzTJQNcf/+MfcRk/zO8kNoIAv0OAXrDmrnjlwSudrfRc5yyv7Y2ZZ6lqRYoI6ymLz/XAh+uQZW8fzLBHYTo0nKZsrK0BQLH/cDN7IyXpW2wJ511+5Cttjb41dByzOG72YyOwpAztwteXjPX0vLa/QiHYsQkgbMLMJ2G3PjpnlYwcSubLRci4fOKlIoFM8b6Bf7hbKmjoaO/8kQYTJHWFBIUYKw7ApB0mboabA7rd6ANWIYQkz1gVYcwjiDARwCNohKaC1uxhx+nvry7QVHJ/HhcUklpae67E81vDoRnk6GO/FWrVik778/Jybl+cJ2sEO+wLYpL6uigMuBD+Pp+K14WFYGdKnfWm4ae2dcirr9pxSwTj3nx2Tl3//TiMKideBCaFItiNe1YM6dDflFmTk5kyNroA6svx7eA2DjUtoZGouSFJxnvzv4ZczwkuxNV+ir05svOsOz84uLY9TOMqPRfcGz/vzIaEJP9X9E0IuegRQDENxGVm71+s6OxtpqyjACH1VAQc2Lb5oVrQj52MkEsvfaSFCLOcuf+udra2qa2JjKSGDjIA3wYuOtEIZZFTn4auiUoaOvlt+10Kp0tqDBsqMiQobo62iqyQ8AOZVARi8XS6nJKGuR3n9yoq63tPHXxiskmsS8TQRwOnKTyik2bbcy0bby9jAxQjS2QpIKaCKXk3Imr2WUk2wnzrXnTL0j5IQggJvuHwIgQQRD4vQiAg538GDtQ/OWN05fspyjo+Xp6aitJgdBVHW0tkISOXNcuWjQ/bkOXgw4HD+kImeOx+0mWuoXjNA97MSEcCEDCZnPguD29ZEKzWTQuSlpcpOuuIDgLDmIX8uLLMBm8pUoQRA0rwGGw5UcGPHxyVn8Y9taxzSOdpr4u64+JzX6vwr67d8Rkfzd0SEMEgX6IADPxXbGB995z+7csnDteXIAFAhspaOnR6149SQPpori5yYn1TSDw5CfOsShOzbtUwdX7r+zavGqsnRaIzgNccDEx0boWQs/lSxBdR0LJSFYk7eL5GNC4vTQxNCJ5hJ0VCJf3RTghnADUVJ5LHGqzeXPw/fs3J2Ay3meBiGCs2PDr4WlV/RCygcUSYrIHlr4QbhEEvkYAYtDpIKYF7wdBVz+niserVVU1Xb2WZVYSQOha8RET1wQYr51gpKptvGzf1YZOfoQ52DVmsVkorPaUqVJ7vU3UNM0W7b3ZTmGBUNWqDt7mzVHm6qp+Ox5gBXAgwCSbzUSJaW7avPv9uZkgcZDB2BmSDoEbJmijGCzQe1cwNZDrBTj7WBypKmWFly3ISaNm6lCiPH6mrRaKS7l6cHVIWCaiv3+JQD84sP4vJUCa9w0B5MB633D6nbW+88A6h5aTlS2pYa4uww+nzq7KjsurpWnpGYFsxSIKhlrDQH4PRsr7dy10YXNTvfb6CkU9Wzkxdml2trCKgaqMKIrTlhqT1MwaammmVNXQYWxiJiGI6qzLisuqU9Aws9IfmpVZrG5sJi0MO+dN1SDOfRNWVt7Z1gYOi8wmZ2TlK+hYKkkJoNiUnJx8BV0beXGopiCtoKKFLSJmbuekLIpDcVmFWUk0KX1Lrd4pRH4n3gOg768PrCMmewCo7YewiJjsHwLjTyXynSb7p/KEEP+tCPTLGCO/FRGkcwQBBAEEgQGEADKXPYCUhbCKIIAg8F9HADHZ//URgMg/OBHgMkE6aQrz3+Z3ZpDa6lo6vtgT8kMQoxCaG/E90i33gSib2lHb1PblDpU+NBxMVRCTPZi0icjyX0TgydGjf8Bl9fqNG4JWr4Ivd5yvr86ZF+D/vOjfnhTPvr9r0oazXXmKfyi60adXBhwM+4JkSeyDo0fDqH/TUV3M2TGBOwk9I6f8UJa+IMYhVF6+cOojoU99sFqKLlw8X9P1DiI/PHA4LKGiTy3/YSXEZP9DwJDqCAL9DAFiG5zOq7E+/+rx8/F55fB1C54NzqSDLOCCcP7Mf1VAgl1wPOZfkfibxhCXnyK1Z2HRKJ0dlL936kGOV7RQV3yqn8FTb5qkuuvXLtb07a3HJVRcvXa1uetkPpfc0Umh/5R3C2Kyf77ikR4QBH4mAvMOHHgEypPLrno22y7ch6/PB6sNFeJArPQX13xcDAxHut2KK+LbwZaiF/Nn2Ojp6S0OOtpM5ZJKn08L2FzPO7oI0eu2L172qqxXkFU0FkfrqDu5a5mBPohEsqOmEz5jWfPmtrexCSBi7TbvbmwliAJ1buuizVcT+FJWvbuy6M9DHRwUpTkveLUHqOY9bXXeVyG6MWD7dlNxyNppevr6C7edbqfBrrygKJotLcB/z9TnhPt5menpmc3385u+alc7hMJhsSw6/q9Dm8309D1mr8r/KtpUXfKdeYGbQjbON9LTn+i7KbeOZ2451OfXt9hY65mbO10NzwJHOpklL3wXrTx/5qC9qZ7dxBnvy1r5nBfEXpww1kBP33TniXAqF3XjZHBWXsV8Fz29yasa6so2rpx3/sKVqS6GngvONlQlLRsJw2hs5XXsbhoLxblwbFt+XoHfKD0jv414lrCQHAcjAsvx5vKmudtO7Q/yA2IG7jjHFxPFIt08tcTYWM/FaeKsKePPvCjt+wBBTHbfsUJqIgj0YwSYIOEwh07t9gnRWDa+8u6j92Nnb55vKb89cNNHOorVmLFizQ51i2UHDhwQrX264dRzcXVjTGn4zdiPQLDqD/eeFDH0FcV7ConFCZS/f5jeqrV5yzp61I2dl9+CX0W1DGcEb927b9+8Ucyd64Mq6SIuhrJvntxtg91KRtTjJyLqdpKcpl3rV7QIjQF92SnWrfrz9BfOMwhakhlxu17QOXj98uLzh09G5IHGxMaPGXngHYCilr328VsppuEXHLxuuGhTak4uoI0TEKxLj35VKLwueMuwgtcb9975ItwUi9wcdfVGmaD+n8EbhzffXbz1HEgvm3R3/+EHFWs3HAgO8rq2b/2rCooAhxQT9tetty1L1wePYleuW3cCpHxoTr2zcvetSf57Duxbl/to3+noj6PGeKmrKsxYERwc6CspxMqJjzx3Ldpp3qals5zEpIaPC1q7Z+++jXMMLm5e8L4ecnGfqKKiMnd18Ob5XqJYzsfs9IoWOJFER2PpjTPHm0Tdg9ctyz8Tcjq6ENx8fGTJltPFS4OCF84cW174uqKlb548TzGIye7HDyHCGoLAdyPAYWOlNA+cvbR0UcD6PRv1hjfXElD5r+5n1wnROytBSD8WDpf65HG7oMoC35FvHkRwUazb16Oc/OeoiPayCWwm3WDCiutn1gcELNq0wb26qgx4ibIaZvZGCrS21iYiisxqa8SjDCb4StbnptXSOG3ZTz8QfLxt2wvePv/QLoQhgL7amEIVb8Oz8b3WQlkspsPcradDlgcs/OOPxUYlZbVAVjBVIgB8aRQqLeoeRt/vzInggICA1fN8ZMQEuSDyCZOubut//coOcHPHNj98cwm19xwKh80ynRp4du/GgID5R86FMMDhfUrTw9BnGAmpooKcvHICmlDw6kMxG4OWNxwdeuUooLN771Iso7wThXpx82YrJN9Qk5eTW4bDdL4Kj9G0Ga2iIDtxZkDAJGfQP1pac+2py6vmBXi6G0tKqbs46mNJhMpmCkqQWlVHMx3lrDBc3jsgYNYEe2EMCnxDYDFwLBcOBzV60a5T+5cGLFq1cpFBaVk9itv25FF80LnrKxYGBCxdPdHGAOT17rueEZPdd6yQmggCAwoBNAYO+gQ7ZjghUVFgQEgkCrB6xXnZ6enptYyhY8fZgt9dfHzaC15HhIfHfiT7TLb/WkIwN8K3KMLiEoAiiBoVuXu6m9+ym+Gvc4urmVwMCgQGlLSc4SYd+Tav7F0EysrbXgFLIXUymdy64jzQV2EtzdnTQ+YrY4PGdc1li0gM6RmrCpi68rIOdQM7vsPPBtPp3T+jMVi+fRMUFQd+Opiv/6JgsBh+NCtRBdVhXCoIZUgicWltdVmZ6RmZOXIWoy01pDkg6FUXNCickAhw3kGPxA4mm0rIzcpIT89kyZm6j9Rmk6kcLpfFz80DJtHB+6RbhJxbwU7O3qfvRWRkFpPBEX1wn8UAYViY/Mq9S08xMRgsilrV0KlrZTCMV4vVM0pXX4YXYrL7ghJSB0FgQCIA4qbyzA0owJ6g5ORl5DXszoc/i4yMfPb08YF1/kNQKAHtcQGGlFUr10EW813VvrnQyKcCkwFZblGotpu382buu/fq+ePwy8HDh2DhpU4UZqynR9GT/ftuZrp5eoIFQlFJORkFrS03n4K+Ip6FhR4K0pD6KiN3F2E+5V5FWXlIaV5KG886gxQ7TF6iBn75JNM3VUJnM/jvgdy3r+uGa42QAGxIOczb9iwCZuTxnVAvG0UuiJXViw7cv7yStLbtjLAIuF7Y4/sr/WyEMFwam9u1fYXHezeflEe33hoEHI19GR7+9LyZhjiDzUFhsXQWl/5Ng9pTTPDCEZKXFa2Jy4STuaG4+NZWyqcXUl8GGWKy+4ISUgdBoP8jwKVTgYXpNm0Ql0br/hPi0uk0Og2lPy5wpESMi7Ojj4+P14TRc4Mu8ZYaBb2meREohCn+Ez8H+OsWl8NiUBnd2yDYDBoc4lXcyFj0Ycj6qVOnj523sbiWwHfmVWy9tUnxDyvF/Mfqgz/l9MfNdud4u1h7+/j4Thk/cWpwBaOXXQb+Po3ZtXsQXNN511xwxYCvHGfOFi18OMZlsu9MryV7rlOYAsDDhdhMKr2LCsRh0ejMr4IIClcmPJg6ZToQzyfor3nLFskJSC1aN/t5yDS3KZN9fLxHO026nViDE0BRafQuqLhsAA2TgZqwZBUnbffI8WMBvxPdXbafi8UNN7CSwq6bOdYv6FB7J5vF7I5+hRI0MFNMu3/Mb6r/ZJ95bzOr0cAQKxoaCZCXTR0/feNJEhvkYgNiwC+cL8SkATAFVGbOsjuxHLT1mTp16sMPtSIg4G2fC3bnzp0XLlygUChr167t/o7qc2uk4sBBAAQrCA0NdXJycnNzGzhc/7c4ffbsWVZWFthXLSMj8x2SQygxU1tLeRDSiVcgnLiFpbW8BGwOIJyYiamljLTk+ElTJFEtZLqQ4gi35Wvma0jCuxqYrSUJ1UJ/rpkPIjt9XYYM1x1pqAGsMnAWJYZrW+hqjhxnJ9JRT8OpzgtcYG5qYGNuJiWMRuHE1RRl9By9xpkow0SwQjZjfI3l6M14SEreYuH6FdbKQ3q62cBjHaZhbKEznMcrJKtubKwOR4ySGKZhqq8mKKnp7etKbW+R1LXxGqVSQ5Cb5esqCKEEZdRtzfQEedwIyahaG+nwcqJ1lfay+LgSQWc7PYyg+Nzgw0snW4AfhmpYebnotTS1CQnLO05dNHuiOUjLgxJTsLU0EYPlhTBi8pYmRpKyar6T3BmdDVzUEH2HaUvne0qKijk4GDBaW0WHqrvZmgmIipuaWQ2XBG2whs4Oqti2dqbkJP+5Y5wtTYzNlWXlXBxGkJrapOS1XG1NcGiMuoGZuhyY2gFimlhoK/B1IqdubKQuq+8wyUpTkERD2/jMHtpaqTZmxkgNqW9qnEQiHTt2zMDAwN/fv6sCAM7ExEReXp7FYsHfT0gZpAgkJycDlW/dunWQyjcYxFq4cCHQEUjo9WuFYZ1Y7Dj7yMtf2+n/6o1DSX8L5iiiop49mOhotvDYS+7/agF+L43a7+K/ndOHmr+3SkddQVT4s6ioqGsnN6iaTExpoPwdP3V1dWBI+Pr6fqqATIx8hzeDNEEQGDwIcPDFeWTNJT52/UskiBz/1/E1q1etWrNN2/mPwyvGfjUR/g1+hSUVRqjL89Pz9OdCrEw7++cakJDz4v3C0+fP2gwH0XH7WhCT3VekkHoIAoMSAexQw9Dbfzlo9NqO/fslxQ5bfeNtaRkoxSf2LJDu24lHFfv5Fw8u78509vuF+DsOVBzmRhXBsiUlRE62U/tHjCIm+x/BhVRGEBh8CPTFfx18Ug9UiRCTPVA1h/CNIIAg8B9EADHZ/0GlIyIjCCAIDFQEEJM9UDWH8I0g0I0AOeKv809fvju1Y+nCwLUv4nlnNEBhEO5e2QJ2oaw9dameDO8RLop9cOlRCriAqJWnDl+uJoJzguw3d8/eiuWFJWITw27vBPVDjt/q4O14To8Kvfw07tXNkIULt+a0/F1IVEQPvxQBxGT/UriRzhAEfgICjNibpwID1yfXUSlViYHT/V7X0lGcjl2LZ249FsNkMjNvnPKb9kcTHYXpKL1+6Q4ehWpNCwvauCEipwmFooTfvV7PEkVBlPPb5py8lQtOgadFHl+25y7g82Pysw1zZ156msdkfTqi8xPYR0j+EwQQk/1P0ELqIgj0RwQgnJTCHwev3rly497rqBnmrAePUzvK3z9LrTn3NObmzZuvX98f1ppyL7Fe195FDF3b0El/8ybf08sh9VUMg9TQyFEZN1KJUPTqenTrjIWBc+fOnTN9Ut6Tv0DkPxwGq++35vqj2zdv7DeD07Qj5fcjgJjs368DhAMEgX+HAASSEMjK8w9MytgYaZIbaqprykWHjbPVge2sgLSurap0ZVEZapiZkTg7Iyklkyi9fkMgMfd1XGIKR9JQVxJNbG9q+li0f22gn5/fit3XIFFJOh0OjSGtqCqG7Cj5d+r5sa0Rk/1j8USoIQj8BgQgcHwbhIiDC72krm2IspqinAKjI7W8g3ePUZ/SSJBVkgfhQRzM5R7fvsEeomdnP2akAv1WeJKy7SiwkRknIKRgNPFDZR3IGFlXW12Qcs9QCs0Cgew4n5OIcdhMECLjZ+SB/A2QDdguEZM9YFWHMI4g0IUAhsskPrx8BAQL2rJ4bmgiJcDbVm6Eo8HQzqXTFoKbq+csziUP83YYAarrmWhE376GUTfFoURd7ZTvXrxvYGkF7isauFvLZU2etfj8xYsXTu9ePCe4hsNFc1hMEKOuu3w4v1R76hbKz0gEiaiyzwggJrvPUCEVEQT6KwLCgsKCne3XLlyIrRK+GPbYQQWHElE5c/uBu14DMNk54jq3n9wykoUfdjUTtzkzPCePhuMlGTr5LpzhbacPB25GD1E7fP2xv3rrpfPnL9/JHeHhNRyLGaZpYq7Fj2cEFzEZZT314bzA/Uj5fQggYaF+b4CYX9Y7Ehbql0H93R19b1iolg1TR5971/Td/SIN+y0CSFio3/duRHpGEPhpCIDsWyDS9E8jjxDuRwggEyP9SBkIKwgC34WAzJ9nbs51UPyutkijAYYAYrIHmMIQdhEEvkIAIzlUVlzo65QyCFSDEAHEZA9CpSIiIQggCAxWBBCTPVg1i8iFIIAgMAgRQEz2IFQqIhKCAILAYEUAMdmDVbOIXAgCCAKDEAHEZA9CpSIiIQggCAxWBBCTPVg1i8iFIIAgMAgRQEz2IFQqIhKCAILAYEUAMdmDVbOIXAgCCAKDEAHEZA9CpSIiIQggCAxWBBCTPVg1i8iFIIAgMAgRQEz2IFQqIhKCAILAYEUAMdmDVbOIXAgCCAKDEAHEZA9CpSIiIQggCAxWBBCTPVg1i8iFIIAgMAgRQEz2IFQqIhKCAILAYEUAMdmDVbOIXAgCCAKDEAHEZA9CpSIiIQggCAxWBLpMNhqNxuFwg1VIRC6AgKCgIPgX0XJ/HgxYLJxZRkhIqD8zifD2KxH4ejCgQWphMzOz3Nxcc3NzYLh/JTdIX78SATKZXFJSIi8vr6ys/Cv7RfrqOwKVlZV4PN7Q0FBYWLjvrZCagxgBFosFjLOPj8/jx4/5YsIm28PDA9xlMBiDWHJENPA+Bo42h8Nhs9kIGv0TAfANBBxtJpMJnsr+ySHC1a9HADjakyZNunjx4meTjQyRX68GpEcEAQQBBIE+IoDBYAQEBD6b7D42Q6ohCCAIIAggCPxeBJAdI78Xf6R3BAEEAQSBf4AAYrL/AVhIVQQBBAEEgd+LwP8B62tQzQc/obIAAAAASUVORK5CYII=)
The first two alpha and beta rays consist of charges with them but the third one the gamma rays is made of energy only.
Question 7.Draw the schematic diagram of an electric circuit consisting of a battery of two cells of 1.5V each, three resistances of 5-ohm, 10 ohm and 15 ohms respectively and a plug key all connected in series.
Answer:![](data:image/png;base64,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)
This is the circuit having one plug key, one 5 ohm resistor, one 10 ohm resistor, one 15 ohm resistor and a battery of 2 cells each 1.5 V and everything is connected in series, so the battery is total of 3 V. As you can see there is open plug key, so, there is no current flowing in the circuit and hence we say that it is an open circuit.
![](data:image/png;base64,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)
As you can see it is the similar circuit as we have drawn the above one, but the only difference is in the plug key, this time the plug key is closed through which the circuit gets closed and gets completed connection, so, there is flow of current and remember the direction of flow of current is always in opposite direction of the flow of electrons, that is from positive to negative terminal conventionally.
Question 8.Fuse wire is made up of an alloy of ___________ which has high resistance and_______.
Answer:Accordingly Low melting point.
Nickel, Chromium, Manganese, Iron, Zinc, Tin type of metals and the most common Domestically used fuse wire is of an alloy Nichrome .
The alloy of fuse wire is made and tested that it should have low melting point accordingly, so that it is able to break the circuit by melting when high ampere of current passes through it which can destroy our electrical appliances.
Question 9.Observe the circuit given and find the resistance across AB.
![](data:image/png;base64,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)
Answer:As we can see there are two sets of resistors, one is at left and the other is at right, both have 2 resistors in parallel each of 1 ohm. As the sets have parallel resistors, so, we can simplify them and make them one resistor to get the equivalent resistance of the circuit.
We will solve one set first and in the similar way the second set, we know that when resistors are parallel we add the reciprocals of the resistors and we equate it to the reciprocal of the total resistance after cross-multiplying we get the total resistance of the circuit.
![](data:image/png;base64,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)
Let the total resistance of the set A be RA and the total resistance of the set B be RB.
So,
, RA![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB4AAAAhCAMAAAD5wuvoAAAAAXNSR0IArs4c6QAAAE5QTFRFAAAAAAAAAAA6AGaQAGa2OgA6OmZmOma2OpDbZgAAZgA6ZjoAZrb/kLbbkNv/tmYAtmY625A625Bm27Zm29u22////7Zm/9uQ//+2///bgWo6oAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAcElEQVQ4T8WRSw6AIAxEi39FhYoi3P+ignHbQozE2U77OpkCFJHXDcPdOsnZAPif7VV90NFRBA1FKsuHqhjiVrXmbj0L6fE38DS14MQuhehJvpsWMHxNZ8u2iOy7DX06ZELWtcG1MxXdjfFnpP1NoxckSgK89kqfqgAAAABJRU5ErkJggg==)
Similarly, RB =
, Hence as the two resistors in the sets are simplified and merged to a single resistor in each set, Therefore the resistors now left are RA in set A and RB in set B which are in series with each other because when we resolved the 1 ohm resistors which were in parallel they got merged and attached to the main circuit wire.
Now when resistors are in series we add them algebraically or simply like we add two integer numbers.
R = r1 + r2 + …………………. add all the resistors
As RA and RB are 0.5 ohm calculated by us, so when we add them we get 1 ohm as the answer.
Question 10.Complete the table choosing the right terms within the brackets.
(zinc, copper, carbon, lead, lead dioxide, aluminum.)
![](data:image/jpeg;base64,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)
Answer:This is the complete table and the answers are in the third column.
These are the answers because, the lead acid battery or accumulator has positive electrode of lead dioxide and leclanche cell has negative electrode of zinc, so we just need to look out for the patterns of questions to solve them.
Question 11.How many electrons flow through an electric bulb every second, if the current that passes through the bulb is 1.6 A.
Answer:As we know the relation
, which tells us that current is equal to the flow of charge per unit time, that is in t seconds q amount of charge has flown or we can say that in 1 second
amount of charge has flown.
We have studied the relation q = n× e
Where q is total amount of charge; n is the number of electrons; e is the amount of charge on 1 electron which has value 1.6 X 10-19 C.
And is always constant(n).
In this problem we have to find n that is number of electrons, so we have the value of current I = 1.6 A and time t = 1 sec , and time will be 1 sec if q = 1.6C , as ,
electrons will emerge out of the bulb in one second or per second.
Question 12.Vani’s hair dryer has a resistance of 50 Ω when it is first turned on.
i) How much current does the hair dryer draw from the 230 V – line in Vani’s house?
ii) What happens to the resistance of the hair dryer when it runs for a long time?
(Hint: As the temperature increases the resistance of the metallic conductor increases.)
Answer:At time t = 0, the given initial resistance(R) of the hair dryer is 50 ohm
i). We are given with the input voltage(V) = 230 V and we have to find the amount of current withdrawn by the dryer which is actually the initial current drawn by the dryer, so,
By using ohm’s law, we will calculate the current,
V = I× R,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALQAAAAsCAMAAAD7JmIuAAAAAXNSR0IArs4c6QAAAJNQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZmZmZpCQZrbbZrb/kDoAkDo6kGY6kLaQkLbbkNv/tmYAtmY6ttu2ttv/tv/btv//25A625Bm27Zm27aQ29v/2////7Zm/9uQ/9u2//+2///blKlxjQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAC9UlEQVRoQ+1ZbVPbMAy2KavHKKwZsEHWgfeWUeq8/P9fN0lWHNPjsHp0cXYXfWhzVyV5LD96JKtKzTZH4G0R6EqtTx4Ufi1+px7Vba+1Pn0At+7xjK9Ut9F69TN165F/t4AZUJTvdskHW32rmgIXZ0/uVVPinXhjU6YXnHz4QQ5O34F/W+BnwuwSHCr0H64cIvfPGNHaAqE4cawGgJZijh/+GSOaJ4ZdS19JKMGazQUw2d/dFgJySV8g8qtgg9tPSGyJ1YaY0BZaXwBcD1qUEZKni31qs1ZOGqmuDFuyNRDzXKDxvVJ2dGVEXqfXgR4jcxr0YPHjKqnRfuPsMhJG3KI+EcUpISZAwrE2H4SBqpBFDuOLIElHSAFHlzxMI6HM1u+xmgCVOqwrTRCO8fMQN12YhlaTQZSbjdH6kqjSQGlHHZntP4sAtm7CDBtpZVjHgnXfTUTLkBejtwRJmYpAO3P5FPk77JDRnpWCkYL5ymva4vMA2pnbZ672C6r+9EDbNfWxZPskaK9+cUc/rUi71W4AvV+OqiUUZirLe6BZZkFp43x4aT/lnvK7sZEcQNvFN9B3r/SE9E5x/yiJtK8XZCnWR64vXCbupsoPoCvqbEHYPu7UlmmsVL3a9SGWgE4hPdbvrl8ngya1C6W4ol+JH5OiB64+0INVmWnMZxDP8ylFmnYs5jRGtY+0P4N4RZlacVFUEQlVbaAzf+TukoPb4nTiX5bxP9IzZZwTwGs8j1JAa5z73LNmaw2hxmPnQpZCuDKwc/GMqIamlEUzy3CJ1wkL35qUdIcQsJxSyuQYLrGuh7mRaG8G0HmGSxFoPFnLbACdZ7gUR/pweuQaLvmKSpyWBhrE6tzQvDfXnIbbgHQHFTGn+wrzXjyN5wW9hKHzqXBaw+hxTtPTI8eJjujhDjxMUoHgRBQTS5boIi8CTdMXmdHYjyZiuYZLoUGp45Pxq+jx7w7/fwVOpbMMl0KDYpPHGV5KcwNVHOfp83BJRs3Z63gR+AtLzkdmBmjV9QAAAABJRU5ErkJggg==)
ii). As we know that the dryer is used to dry our hair and it does by throwing hot air on us and as time passes when we are using it, it becomes hot and when it’s temperature is increased by becoming hot, the resistance of the metallic parts increases , the resistance of the metals increases with the increase in temperature till a certain temperature or within a specific range. The longer we use the hair dryer the more hot it becomes and the more resistance is offered by it.
Question 13.In the given network, find the equivalent resistance between A and B.
![](data:image/png;base64,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)
Answer:To find the effective resistance of any typical network , first we should look out for small structures of the main structure which can be resolved and we should solve the question diagram by diagram provided each diagram is simplified from the previous one and don’t just interpret and solve some structures in between structures because there are no resistors in parallel or in series there they have more connections and it becomes more complex to solve from between, so try to solve from outside if it does not solve then go inside to simplify the whole structure, so, first solve the outer structures then go to the inner ones if the outer ones can be solved first.
ALWAYS REMEMBER THE MAJOR RULE :-
RESISTORS IN SERIES HAVE SAME CURRENT AND
RESISTORS IN PARALLEL HAVE SAME POTENTIAL DIFFERENCE.
By using this rule you can create a passage of current from any point where there is potential difference given in the question
In this question the point can be any but from only A and B the two points given in the circuit because between these points there is potential difference , THESE ARE CALLED GIVEN POINTS between which we have to calculate the effective resistance.
![](data:image/png;base64,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)
First the extreme left resistors will be solved as they are in series, so we will get, they will get added normally as integers.
![](data:image/png;base64,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)
Now again the left most resistors are to be solved but now they are parallel and to be calculated by parallel method of evaluation.
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)
Now again we have to solve the left most two resistors at the top which are in series and will be added like integers.
![](data:image/jpeg;base64,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)
Now again solve the left most resistors which are parallel, we will get,
![](data:image/jpeg;base64,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)
Now solve the resistors in series, which will be,
![](data:image/jpeg;base64,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)
Now solve the resistors in parallel which are at the top, which are evaluated to,
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwkHBgoJCAkLCwoMDxkQDw4ODx4WFxIZJCAmJSMgIyIoLTkwKCo2KyIjMkQyNjs9QEBAJjBGS0U+Sjk/QD3/2wBDAQsLCw8NDx0QEB09KSMpPT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT3/wAARCACSAVQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAopCQoJYgAckmqD6zblilosl5IOqwLuA+rfdH4mgDQorC1ODWbyykkS9GlqiM2IFWWQ4HdmGB+A/GtWxkabT7aSQ5d4lZj6kgUAWKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooprMqIWchVUZJJ4AoAdRTY5EmjWSJ1dGGVZTkEexp1ABRRRQAUUUyWaOBC80ixoOrMcCgB9FZv9r/aONOtpLodpPuR/99Hr+ANH2K9uuby8MSn/AJZWvy4+rnk/higCxdaja2WBPMoY9EHzMfoo5NV/tWoXfFraC3Q/8tLk8/ggOfzIqza6fa2Wfs8CRk9WA+Y/U9TVmgDOXR1lIa/nlvCP4ZDiP/vgcH8c1fSNIkCxqqKOgUYAp1FAFe//AOQdc/8AXJv5Gm6Z/wAgq0/64p/6CKdf/wDIOuf+uTfyNN0z/kFWn/XFP/QRQBaooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAIrh3jtpXiXdIqEqvqccCuf8J63e6q0qalNEtykSO1r9kkgePP8Avk7h1GR6V0UqebE6bmXcCNynBHuD61m6VoEemXUt1JeXd7dSoIzNdOGZUBJCjAAAyc9OaOoFe68UxW2pSQfYrl7WGVIJ7xdvlxSNjAIzk/eXJA4zVLSvFk7uYtQsZwGluEjuQFEbmNmO0DOfur1IwSDV+58K2l1qbXbXF2sckizTWqSAQyuuNrMMZ7DoQDgZqOPTNNa7GmrLP51s0lzg9/N3BucYON5+nFLoHUoDx4xh81tC1FU+zrdklo+ID1f73b+71rpJNRt4prSJ3w12SIcjhiF3Y+uMn8KoN4Xs2tzCXm2mxFh94Z8sd+nWm6vZLPdaXbBipXfsfujBPlb6g0xG3VXVP+QTef8AXB//AEE0afdNdWxMihZo2Mcqjsw6/geo9jRqn/IJvP8Arg//AKCaBlG0054LK3m011hdolLRN/qn4Hb+E+4/WrltqKzS+RPG1vc4z5T/AMXup6MPpUlh/wAg62/65L/IU65tIbyLy7iMOvUdiD6g9QaAJqoz6vawymFGaecf8soVLsPrjgfjioho28kXV7dXEQPyRM+0Aeh24LfU1fgt4raIRwRJFGOiooAoAo51S7+6IrGI/wB795L+X3R+tPi0e2WQS3G+6mH/AC0nO4j6DoPwFX6KACiiigAooooAKKKQkKCSQAO5oAhvVL2NwqgljGwAHc4rO07WbOGxtYbmRraVYlUpOhjIIAz14qw+uWCsUjn89x/DApkP/juaa91f3S7YdOVI2H3rqQDP/AVyfzxQBoJIkiho2VlPQqcg06sA+GBcOXnuPs7HkiwXyP8Ax4HP48VsWdsLK0jgWWaUIMB5nLufqT1oAnorA8OeJ38RPI0dh5NsoOJftMbnOcYKqcqfrV2+8QaXpt7HaXl5HFPJghTngE4GT0XJ9cUAaVFYll4qsLrVbjTpZVhu47hoEjJJ34AOc4wCRnjrxUZ8c+Hhu/4mcfy5PCMcgHBI45x3x070Ab9FNjkSaNZI2DI4DKwOQQehooAdRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRSE4BPpQAtZ15qjWmsWdq0YMNwrbpM8owKhR9CTj64qp4cnl2NFcOXM6/a4iTn5XJyPwOOO24VNf2yXmsJBJ92SzlGR2+dMH8KANasKa2kl1e/eDAuYhDLFnjdwQR9DyK0dNuXntyk/FzAfLmH+1jqPYjn8aii/5GO5/wCvaP8A9CegC3a3KXlrHPHna4zg9R6g+4qnff8AIZ0v/el/9ANKv/Eu1MqeLa8bcp7LL3H/AALr9QfWkuefEFiDyBFKwHv8oz+poAW8/wBAvFvhxC+I7j0A/hf8CcH2PtTtcdo9DvWXqIW/lV2SNZY2SRQyMMMD0IrBvZGh0LUrCZiz28J2M3V4yOD9RyD9PegDejjWKJI0GFQBQPYU6iigAooooAKKKKACiiigAooooAZKhkidFkaMsMB1xlfcZ4rBPhu4U7nvVvsdBfIX/PDAE/hWpPrFhbOUlu4hIDgoDuYfUDmozqk0hxa6ddSD+9IBEP8Ax7n9KAGo+qW6hRZWbr0AimKY/NaX+1LiP/X6Xdrnp5ZST+TUY1efgm0tFPcZlcfyGfzoGkvJzdahdynuFfy1P4Lg/rQAyXxLpdsQLq5+zMei3CNGT9NwGavWt5Bf2q3FnMksT52yLyD2/nUdvpdlanMNtEGzneVy35nmrQAAwAAPagDndH8O3Nrrr6ldjT4mELQqljCY/MywJZ89TxwPc80zWPDd9e3l99jureO11ONI7oSxlnQKMZQ5xyD36HmumooAwE8OyKT++TH9p/bhwfu4xt+vvUNp4XmtobJGuIz9ns57Y4U8mQgg/hiuloo8g63KmlWjafpNpaOwdoIUjLDoSABn9KKt0UAtAooooAKKKKACiiigAooooAKKKKACiik6UALVDW5DFo10V+80ZRfq3A/nRJrNsHMdtvu5R1S3G7H1PQfiaie3vdSMf2tYra3V1cwqd7vg5AJ6DkDgZ+tABfxCxWzuk+7akRP/ANc2wp/I4P4U+c7PEFmx6SQSxj65Q/0q7cQpc28kMgykilW+hGKxLWZ5b3S0lOZoPOhkPqygDP48H8aAL13/AKFqMV4OIpsQT+xz8jfmcfiPSiL/AJGO5/69o/8A0J6uzQpcQPDKu5JFKsPUGsTTJZP7d+zzMTPBamOQ/wB8Bxtb8QfzzQBsXlqt7avCxK5wVYdVYcgj6Gsq3uXudYsvOAW4iimjmUdAw2dPY8EfWtys+TTAdch1GNgpWJopE/vZxg/UYx9DQBoVk+INNm1DT3+xlBdBSq7zgMrcMp/Dn6gVrUUAFFFFABRRRQAUUUUAFFFFABRRRQBTm0jT55TLLZW7SHq5jGT+NQnQ7cf6ma7h9fLuX5/Mmkk1yEXb2lvDPPcJ1RU24/Fsce4pfM1a4A2QW9ovrK5kb8hgfqaAD+zbtP8AU6rcj/roiP8A0psv9p2q7mvbF1H/AD1jMf45DH+Qp/8AZt1N/wAfWpzkH+GBREPz5P606PRNPjbcbVJH7vLmRj+LZoAzv+EkmU7VtI71h/z5SF8/moA/76rR0zULi+8z7TptzZFMY85kO76bSavBQoAUAAdhS0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFMklSGNpJXVEUZLMcAfjVA6wJzt0+3lum/vgbI/++zx+WaANKq13qFrY7ftEyozfdXqzfQDk1W+x313/AMfl0IY/+eVrkH8XPP5AVZtNPtbLJt4VV2+855Zvqx5NAFb7ZfXf/HnaCFP+et1xn6IOfzxR/ZAn51C4lu/9g/JGP+Ajr+Oa0qKAGRxJDGEiRUQdFUYA/Cn0UUAFYstnPF4rtp44ybaWN2dh0SQADn6jH/fNbVFABUH2OAXpvPLH2gx+UZO5XOcfnU9FABRTJJUiAMjqoLBQScZJOAKfQAUUhIAJJwBVfT7+HUrKO6tyTFJnGRg8HH9KALNFJ0rP0zVftyL50fkySAyRAnh0zwQfpjI96ANGiiigAooooAKKKKACiiigCvdWVveoFuIw23lW6Mp9Qeoqr/p+n8km+tx7ATKP5N+h+taVFAEFpewXqFoHztOGUghlPoQeRU9Z+qWUMsEtzgpcRRsUljO1hgZxkdR7HirNjK09hbyyHLvErMfcigCeiiigAooooAKKKKACiiigAooooAKKzbvUnk+022jtaXGoW5XzIZJtvlhuQTgE9Kzvsus3AH9owrOMcxx3PlRn6gDJH1NAGtPq1pBIYvMMsw/5ZQqXb8h0/Got+qXf3I4rKM95D5kn5D5R+ZqOA31rH5dvpFtEn91LgAf+g1J9q1T/AKBsP/gV/wDY0APj0e2Eiy3BkupV5DztuwfZfuj8BV4ccCs77Vqn/QNh/wDAr/7Gj7Vqn/QNh/8AAr/7GgDSorN+1ap/0DYf/Ar/AOxo+1ap/wBA2H/wK/8AsaANKis37Vqn/QNh/wDAr/7Gj7Vqn/QNh/8AAr/7GgDSorN+1ap/0DYf/Ar/AOxo+1ap/wBA2H/wK/8AsaANKis37Vqn/QNh/wDAr/7Gj7Xqn/QNh/8AAr/7GgCa+unRo7a2wbmb7ueiL3Y/T9TioNDVobae0d3drad03SNuYg/MCT34arFjaNCZJ7ghrmY5cjoo7KPYD8+TUNp+71y/j7SLHMAPXBU/+gj8qAKfiSM3nk2y/eiR7v6Mg+T/AMeP6Gtm3mFxbRTL92RAw/EZqlaDz9Zvpz92IJbr+A3N/wChD8qND+SwNsetrI8P4A/L/wCOkUAO1qRhp5hjOJLllgU+m44J/AZP4VHo6iCS+tVACw3BKKOysA38yadL/pWuwx9UtIzK3++3yr+gb86SD914huk7SwRyfiCVP9KAHa3Iy6ZJHGcSTkQoR6scf1NTzWMU1skOCgjx5bJwUI6EVXuf9I1q0g/ggVp3Hv8AdX+bflWjQBTtbp/N+y3eFuAMqw4WVf7w/qO1XKgurVLuLY+VYHcjrwyH1Bqp5+qxfIbOCbbx5gn2bvfGDigDSorN+1ap/wBA2H/wK/8AsaPtWqf9A2H/AMCv/saANKis37Vqn/QNh/8AAr/7Gj7Vqn/QNh/8Cv8A7GgDSorN+1ap/wBA2H/wK/8AsaPtWqf9A2H/AMCv/saANKis37Vqn/QNh/8AAr/7Gj7Vqn/QNh/8Cv8A7GgC1f8A/IOuf+uTfyNN0z/kFWn/AFxT/wBBFZGt6xfWGkTy3GmjYw8sCObexZjtAA288kVb8O6pBqGniKNJo5rQLDNFPEY3RtoPIPqMEUAa1FFFABRRRQAUUUUAFFFFABTZG2Rs20ttBOF6mnUUAcRoela7p+tWuqXkduyXpkFzHDGwlTzDvUuScHaQF4Heu3oooAKKKKACiiigAooooAKKKKACiiigAooooAKzbhhb6/bSscLLbyISeg2kMP0z+RrSrF8URyvZW5gB8zz1jznG0OChP5NQBa0NT/ZcczDDXDNOf+BEkfoRTbX/AEfW7yHPyzItwo9/ut/JfzrQRFjRUQAKoAAHYVh+JJms5LSaM4kuCbJSP70n3fyIoAu6N+9hmvT1u5TIp/2Bwn6AH8aL0mLWNOl6B/MhY/UBh+qVdghW3t44YxhI1CgewGKy/E9x9h0kXwUsbWVJAFHJyduB/wB9UAT6Z+/ur67PSSXyk/3U4/8AQt1aNVtOtfsWnwW55ZEAY+p7/rmrNABRRRQAUUUUAFFFFABRRRQAUUUUAYvi3TbjVvD8traxmSUyRvsEvlFgrhiA/wDCcDrVXwjpF7pjXz3MTW8E7q0du9ybh1YDDMZDyc8cc4xXSUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAU9W1A6XpdxeC2mufJQt5UIBZvzrMvPEUwt9MFjp4uru/i89IWlCKihQxJbB/vADjqa09Wtri90u4trSaOGaVCgeRC4APB4BHb3rFHhvUkstMMWpQJqNhG0KzfZiY3jIAwV3Zz8qnOeopAa1lrNtd6FHqrN5Nu0XmsZD9wDrn6c1j6h4s0ybTRcpEZfs9zAWjnhdHQM4CyBSMnvgitFfD0A8Lf2GZXMXkeUZeN2f73pnPNUF8L3txK1zqWpJPdboArRweWoSJ9+MZPJOcnP0FPqHQtN4v0pbWKffcHzZWhWIW7mTeoyVKYyDjmiz17R/Eu6yhZ5llj8wCSJ0WRQRkqSBnBxnHQ06Pw+U1dL37R926kuNm3+9GExn2xmm6X4dOnSaYxufM+w28kP3cb97Kc+2NtCA3KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA/9k=)
Now add the two 5 ohm resistors like integers because they are in series, for the last time,
![](data:image/jpeg;base64,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)
Solve the two remaining 10 ohm resistors which are in parallel combination to each other,
![](data:image/jpeg;base64,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)
Thus, we get the resultant or the final calculated resistance.
Question 14.Old – fashioned serial lights were connected in a series across a 240V household line.
If a string of these lights consists of 12 bulbs, what is the potential difference across each bulb?
Answer:We should not get afraid if there is no number data or less number data as there is everything in the question itself, As in the question there is given that the 12 bulbs are identical and there is the input voltage of 240 V, and the bulbs are connected in series which means the current is same in each and every bulb.
Suppose that each bulb has resistance ‘R’ and ‘I’ is the current passing through each bulb,
We have to find the potential difference across each bulb, which will come out to be same because the current passing and resistance of each bulb is same, and V = I× R, so V is same which is potential difference across one bulb.
By adding the resistance of all bulbs, we get,
Potential difference across all bulbs = (current through one bulb) × (resistance of all bulbs)
Which is, 240 = I× 12R = 12 IR,
= 20
Now potential difference through one bulb is,
= 20 V, which is the required potential difference across each bulb.
Question 15.Old – fashioned serial lights were connected in a series across a 240V household line.
If the bulbs were connected in parallel, what would be the potential difference across each bulb?
Answer:We know that potential difference across each bulb is same when they are connected in parallel and in this case the bulbs too are identical that is they have same resistance and so the current will be divided in same proportion in each branch (to each resistor).
The conditions are same as in the previous case,
Effective resistance of the network is,
![](data:image/png;base64,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)
We get,
Rt
, Let the current flowing in circuit is I,
By Ohm’s law, 240 = I× Rt
,
As current through circuit is I, so current through each bulb will be
, because there are 12 bulbs through which current I is flowing so through one bulb the current will be
,
By Ohm’s law,
, which is equal to 240 V.
Hence now we know the rule works always.
Question 16.The figure is a part of a closed circuit. Find the currents i1, i2 and i3
![](data:image/png;base64,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)
Answer:IMPORTANT RULE :- WHENEVER THERE ARE CURRENTS COMING FROM DIFFERENT WIRES AND GOING INTO SINGLE ANOTHER DIFFERENT WIRE (THROUGH WHICH THERE IS NO CURRENT COMING) THEN THE CURRENTS ARE ADDED AND IF CURRENT THROUGH ONE WIRE IS GOING INTO TWO DIFFERENT WIRES (WHICH DO NOT HAVE ANY CURRENT RUNNING THROUGH THEM INSTEAD OF THIS CURRENT) THEN THE CURRENT IS DIVIDED IN THEM ACCORDINGLY AND SUBTRACTED FROM THE MAIN COMING CURRENT.
If we know the main current one partition we can find other by using simple maths.
For example- 3A is the main current for forward going 1A and i2 , and 1A and i2 are the partitions of 3A current.
As there is law of conservation of energy.
There is always conservation of current(charge) ,
So 3 = 1 + i2 , by which we can get i2 which is = 3-1 = 2A.
Now to calculate i1 we must obtain the equation of it , which is
i1 + 2 = 3 , i1 = 3-2 = 1A.
Now to calculate i3 we will look at the point where it is getting divided and by whom that is , what is the main current of i3 and the second partition of the main current which is companion with i3,
As i2 = 2A is the main current and it’s one partition is 1.5A and second partition is i3 , so ,
i2 = i3 + 1.5 , 2 = i3 + 1.5 , i3 = 2 - 1.5 = 0.5A
Question 17.If the reading of the Ideal voltmeter (V) in the given circuit is 6V, then find the reading of the ammeter (A).
![](data:image/png;base64,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)
Answer:We are given with potential difference across 15 ohm resistor and we have to calculate the amount of current flowing in the circuit which will be the reading of ammeter.
Let the potential difference across 15 ohm resistor be V and the current flowing in the circuit be I. As we are given that the voltmeter is ideal which means that no current or very less current passes through it and hence nearly all the current passes through the 15 ohm resistor.
V = 6 V , R = 15 ohm , by using Ohm’s law , we get
V = I× R ,
,
Always remember current passing through ideal voltmeter is always zero , Mathematically
I = 0 A, through an ideal voltmeter.
Question 18.A wire of resistance 8 Ω is bent into a circle. Find the resistance across the diameter.
Answer:![](data:image/jpeg;base64,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)
As in this question we have to calculate net resistance across the diameter of the circle and we are given with the resistance of the wire across it’s free ends which is 8 ohm.
If we remember our previous questions in which we have calculate net resistance, we will know that the given points are whom across there is potential difference and these two points will not merge and form one-point, potential difference at one point is different from another point that is A and B have different potential.
But the potential difference across each resistor is same as they have same ending points A and B.
So, we are at conclusion, that the two resistors are parallel to each other and we can calculate the net resistance now, as the resistance of the full wire across it’s free ends is 8 ohm, So by the relation
![](data:image/png;base64,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)
We can say that by dividing the length to half of the original keeping other things constant which they are in this question, the resistance will reduce to half of the original, that is now the resistance of the two parallel wires is 4 ohm instead of 8 ohm.
![](data:image/png;base64,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)
Rt = 2 ohm, is the resistance across A and B (the diameter).
Question 19.A wire is bent into a circle. The effective resistance across the diameter is 8 Ω. Find the resistance of the wire.
Answer:![](data:image/jpeg;base64,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)
In this question we are given with the resistance across the diameter AB which 8 ohms is, and we have to calculate the resistance of the wire formed from the circle across its free ends.
The situation of resistors is same as of previous question, So,
We need to find the resistance of the two parallel wires and then we can find the resistance of the total full wire.
Let the resistance of the parallel wires be R ohm each.
So,
, Rt
,
We are given that Rt = 8 ohm, so, R = 2 Rt = 2× 8 = 16 ohm.
So, the total resistance of the full straight wire across it’s ends will be 16 + 16 = 2× 16 = 32 ohm, because R was the resistance of half wire.
Question 20.Two bulbs of 40 W and 60 W are connected in series to an external potential difference. Which bulb will glow brighter? Why?
Answer:Remember one thing whenever there is this type of question we will check the power dissipation in each bulb, the bulb dissipating more power will glow brighter than the bulb with dissipating less power. The dissipation of power depends upon the resistance of the bulb that is more the resistance of the bulb more is the dissipation of the power.
As the bulbs are connected in series that means there is same amount of current flowing through them, so,
Power(P) = potential difference(V)× current(I)
By Ohm’s law, V = I× R
So, ![](data:image/png;base64,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)
Where V is the rating voltage of the bulbs which a very important concept in is these types of questions.
We will have to take input voltage less than or equal to the V volt or the rating voltage of the bulbs otherwise our bulb will fuse out.
It is the power of 40 W bulb,
Now we have to calculate R1 of bulb 1, so
![](data:image/png;base64,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)
It is the power of 60 W bulb,
Now we have to calculate R2 of bulb 2, so
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHoAAAAyCAMAAACkjD/XAAAAAXNSR0IArs4c6QAAAIFQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6Ojo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZrbbZrb/kDoAkGY6kLaQkLbbkNv/tmYAtmY6ttu2ttv/tv//25A627Zm27aQ29u229v/2////7Zm/9uQ/9u2//+2///b5V1nDgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACUElEQVRYR+1Ya1PCMBBsAK0vpPioYn0UlJT2//9A75IU0SZ0L9ZhnOE+QOlkby+by+VCkhwtQoH3W6WmMlwExEdQzxfJcvQk4Y6ABN1XZyJq9hMBYViTK0Xz5K/xG78oZ32TjoAEXBZG4SY/WfOAJbLUERAvuVb39L7O+DMpEeYkAuKlrrNTeq+N3JqYtYlhr0VAvP6s1AUvcZ0psn7qCIh/KiUtdj0X5XUExMtdpbNE2yRDLQISVNzojRsrLoQEFB+/3Jg9jVsphwQUP+ckl1iViiEBxYGs/o6kita/EZC5FLIkY5cRECSS/zaGDxWyi9cDBG6q6yqVHffDxNnkvE3KgdJPFJOl1kpWnEQUocFu1gcTfEXngc8Kk4NscGgCiElx2DHHtw1n56FnAfwQFnyTTYSHwXBrrZU5DTrNuUC9NhgBxKRZk7PkQzbniCy2YatSdx5ENucI088xnGXMXbhU6+/nY1gQDNTPm5uHuPA3z1bZ5kGpy+6RgfXz3AObwm8vPpjpdPrBI7lJ2+QdJNjPM15a+HV6Z0PUnND2MrJjaD/fUgsKv01mtoIn/PUTk2xnlHjW22naa0idyRssR2+oV+2GBCIvxo/898Pa3U/bWyqA9G1JNSJPoNGWuF5TrLMhqGVtuJslNaWt4DJ8Z609RT+ggqMuKcVcmkV3JjbNBEXfEJpW3LRinc0FLhxzbvcK+I9MlZ6ukyWzcnL/Msva3QEW/YoSfLLgyW3o6QpO0D1yYEUf1xMfiRZ93CM6Ei76qEN4HF70YZfHgX+mwCehMy7amvd4SwAAAABJRU5ErkJggg==)
Now as we have got the resistance of bulb 1 and 2, so we will find the current flowing in the circuit , which is
![](data:image/png;base64,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)
Now let’s calculate power dissipation which is ,
P1 = ![](data:image/png;base64,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)
P2 = ![](data:image/png;base64,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)
As we can see that power dissipated by P1 is higher than that of P2 ,
So, bulb 1 with 40 W power will glow brighter than bulb 2 with 60 W power.
Question 21.Two bulbs of 70 W and 50 W are connected in parallel to an external potential difference. Which bulb will glow brighter? Why?
Answer:Remember in these type of questions we will have to calculate the amount of power dissipated by the bulbs , the bulbs dissipating more power will glow more brightly.
Again we will first evaluate the resistance of each bulb and after that the current flowing in the circuit , then we will put both the values of current and resistance to evaluate the power dissipation by each bulb.
Let the rating voltage of both the bulbs be same as the input voltage which is V volts.
P1 =
, R1 =
, P1 = 50 W
P2 =
, R2 =
, P2 = 70 W
Now to calculate the current flowing in the circuit,
The net resistance is R,
![](data:image/png;base64,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)
R = ![](data:image/png;base64,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)
Now let’s calculate power dissipation which is ,
P1 = ![](data:image/png;base64,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)
P2 = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIoAAAAwCAMAAAD5CBJFAAAAAXNSR0IArs4c6QAAAJZQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOjqQOmZmOmaQOma2OpDbZgAAZgA6ZgBmZjoAZjpmZmaQZma2ZpDbZra2ZrbbZrb/kDoAkDo6kDpmkGY6kLaQkNv/tmYAtmY6tpA6ttv/tv//25A627Zm27aQ2//b2////7Zm/9uQ/9u2//+2///bHexS0QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACmUlEQVRYR+1Ya3fSQBDdhdLUKgrRPlSC2lRYLVk2///POXd2AQ+nuDOpoe05zAdOcpjHZR53ZzHmJK8kA+3c2rOlAqzaQOw7fFqEq6lY3Ri1Qc53Ze3U+MKek2K4zmel1RrkAOy+X5cA4YYEwt+sBHZqA4HPpOJGBKCmyjS3K/9ZYKc2EPiMKv7ijsq+NKG0qFVe1AZ5l0mjraamkUDYeFQbiKEYN3qY38nVqbG0BmLn/uLHRKwcS6o0EHun8ZyJlaGoNpB755HQiM7A0TiQIEj73drxgkOBn8AgDUYlklX/UiPnvqDPthqt1hUAMBZ+cJFcmd2OI8yhzYDGo9m0g8NbO79kdiVGOZKEEvmvEXWbAMbkxz8Zn7ZHuuOOGaD6AEoKy5jcOZcObP8PqWO7kcCPRA5atBVaIUKJn5CaHuoZEIWPiLCNlx4yIffV6V0AMvbHPhRKFU4cQnTE+uD37wq0GRYqTYMaDZeZ+phMgR5Z4g5Z+CK2QmrbTV9QaRw9++IL16e7KJY4hkDiUKftMBO0wVvCEMr3YyXHJtQ1dTGxI8+lYOsjqzjJ/DBa7boWqLhwdVemZcfc8rKtLzEbY1lfWfthl4FUOJ50ElpraVonigzhBEKNpVufvAcaSvXv1FciK2p8VEa89YmcshKgYDGTS82N34MAyi8pn0bwg3f5S0oXpA31ylncIYSiy6HQaSpQvNo8v6BA4J7+rsDi34h9JpTDhYI9xb51isQr4AnmPSF76gJ00pax596a0ClSzuj/s2cu4qHve2DPrlBOdk/KAK5yuEfR7Kn+u3tS0MeNw60x9+CiWW8ngAK1n1BS3hBLP/uB0X7D3fJFQOE/qUL5tc1dGhSJ7qaazoem+HtP7ebqZPWKMvAH2n4/3O/jWx8AAAAASUVORK5CYII=)
Hence power dissipated by the bulb 2 which has 70 W power will glow more brighter than the 50 W bulb 1.
Hence, we got the same answers when the bulbs are connected in parallel combination.
Question 22.Write about ocean thermal energy?
Answer:OCEAN THERMAL ENERGY :-
The water at the surface of the sea or ocean which, has considerable depth or deepness, is heated by the Sun while as we go deeper and deeper in the ocean or sea the upcoming sections become relatively colder than the previous one. This difference in temperature is used to obtain energy in ocean-thermal-energy conversion plants. These plants can operate if the temperature difference between the water at the surface and water at depths up to 2 km is 293 K (20°C) or more. The warm surface-water is used to boil a volatile liquid like ammonia. The vapours of the liquid are then used to run the turbine of generator. The cold water from the depth of the ocean is pumped up and condense vapour again to liquid.
Question 23.In a hydroelectric power plant, more electrical power can be generated if water falls from a greater height. Give reasons.
Answer:In hydroelectric power plants, the electric energy is produced by potential energy of the water at a certain height , and potential energy increases with the increase of height of the water.
When water is taken at some height it gains potential energy and when water from this height is thrown the potential energy of the water starts converting into kinetic energy and when the water hits the turbine the kinetic energy rotates the turbine and hence the electricity or electric energy is generated by conversion.
The more is the height of the water, the more is the potential energy, the more is the kinetic energy and , hence the more is the electric energy.
Question 24.What measures would you suggest to minimize environmental pollution caused by burning of fossil fuel?
Answer:The oxides of carbon, nitrogen and sulphur that are released on burning fossil fuels are acidic oxides. These lead to acid rain which affects our water and soil resources. To reduce these kind of hazardous incidents, the following measures will help you to reduce these incidents:-
1. The pollution caused by burning fossil fuels can be reduced by increasing the efficiency of the combustion process.
2. Using various techniques to reduce the escape of harmful gases and convert them into non-harmful gases.
3. Use that fuel which could create less ashes, so that the ashes do not get into surroundings and pollute it.
4. Use that fuel which produces high level of heat and less level of smoke and gases.
Question 25.What are the limitations in harnessing wind energy?
Answer:Wind energy is an environment-friendly and efficient source of
renewable energy. It requires no recurring expenses for the production of electricity. But there are many limitations in harnessing wind energy, that are:-
1. Wind energy farms can be established only at those places where wind blows for the greatest part of a year.
2. The wind speed should also be higher than 15 km/h to maintain the required speed of the turbine.
3. There should be some back-up facilities (like storage cells) to take care of the energy needs during a period when there is no wind.
4. Establishment of wind energy farms requires large area of land and also the initial cost of establishment of the farm is quite high.
Question 26.What is biomass? What can be done to obtain bioenergy using biomass?
Answer:The fuels which are plants and animal’s products, the source of these fuels is said to be bio-mass. Bio means living things and mass means the matter that is matter obtained from the living.
As the bio-mass when burned do not provide much heat and give out a lot of smoke or pollution through them, so there is a method called bio gas plant. The plant has a dome-like structure built with
bricks. Anaerobic micro-organisms that do not require oxygen decompose or break down complex compounds of the cow-dung or sewage or dead plants, slurry. It takes a few days for the decomposition process to be complete and generate gases like methane, carbon dioxide, hydrogen and hydrogen sulphide.
After the above process the formed biogas is stored in the plant in a tank and can be used through pipes.
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)
Question 27.Which form of energy leads to the least amount of environmental pollution in the process of harnessing and utilization? Justify your answer.
Answer:Solar energy is the energy which leads to the least amount of environmental pollution in the process of harnessing and utilizing it.
Because :-
1. The input of solar energy is the sun which is the ultimate source of energy and will never die and is nonpolluting.
2. There is no much activities or harming of nature when harnessing it like it is in wind energy, we have to consider large area of land and place windmills there that might include cutting of trees or digging of earth too deep.
3. There is no release of harmful gases as there is in geothermal energy when the melted rocks come to the surface of the earth from the core, then they release harmful gases when they form contact with water.
4. There is no burning of any fossil fuels like there is in thermal power plants and no radioactive waste as it is in nuclear power plants.
5. There is no disturbance caused to the wildlife, because we can place it on top of our home and use it while we are in our house , but there might be some disturbance caused to the aquatic life in energy from the sea methods and by hydroelectric power plant also.
Fill in the blanks
i) Potential difference: voltmeter; then current __________.
ii) Hydro power plant: Conventional source of energy; then solar energy: _________.
Answer:
(i) As the question’s pattern is telling us a quantity: and it’s measuring instrument, as the quantity is potential difference: so, it’s measuring instrument will be voltmeter, and in the second case the quantity is current: so it’s measuring instrument will be ammeter.
REMEMBERING TECHNIQUE: -
The units of potential difference are volt so it’s measuring instrument is named voltmeter and the units of current is ampere so it’s measuring instrument is named ammeter.
(ii). Alternative or Non-Conventional source of energy.
EXPLANATION – As in the question’s pattern it is first giving the name of a method of source of energy and: then asking the type of method whether it is a conventional or non-conventional source of energy.
Question 2.
In the list of sources of energy given below, find out the odd one.
(wind energy, solar energy, hydroelectric power)
Answer:
Out of all the three options available, if we compare the type of method of these sources of energy have, the wind energy and the hydroelectric power are the Conventional methods of energy whereas the solar energy is the Non-Conventional method of energy.
Question 3.
Correct the mistakes, if any, in the following statements.
i) A good source of energy would be one which would do a small amount of work per unit volume of mass.
ii) Any source of energy we use to do work is consumed and can be used again.
Answer:
(i). A good source of energy is the one which would do a large amount of work per unit volume or mass.
When we want to use something, we give it input and we desire considerable output from that thing and of course we want large amount of output or work done by that thing not a small amount of output or work done.
(ii). Any source of energy we use to do work is consumed and cannot be used again.
When we use some energy, it is in the usable form and when we apply it some energy is used and some energy is dissipated to the surroundings but the amount of energy we used is fully gone with the law of conservation of mass.
Question 4.
The schematic diagram, in which different components of the circuit are represented by the symbols conveniently used, is called a circuit diagram. What do you mean by the term components?
Answer:
It is difficult to draw the actual parts of the circuit which are in real life so, there is a way to draw the circuit with some suitable symbols. Electric components or simply components of the circuit means, the parts with which our circuit is made. For e.g.
A plug key, connecting wires, cell or battery, resistance or bulb, etc.
It’s the simplest circuit.
Components are generally the parts through which our circuit is made.
Here are the symbols of some components used in making circuits.
The simple circuit contains only the main components which should be in every circuit.
Question 5.
The following graph was plotted between V and I values. What would be the values of V / I ratios when the potential difference is 0.5 V and 1 V?
Answer:
Ohm’s law was given by experimenting and making graph of V vs. I that is V on y axis and I on X axis and by the observations Ohm deduced that V/I is coming out to be nearly constant, and as we increase V(potential difference) I(current) increases simultaneously and linearly that is current I increases linearly with potential difference V.
He told that V/I is a constant and is named as resistance(R).
Now we know that V/I is constant, so let’s calculate the ratio.
When the potential difference is 0.5 V then the value of current comes out to be 0.2 A , and when the potential difference is 1 V the value of the current comes out to be 0.4 V.
Hence the Ohm’s law is also verified that is,
Question 6.
We know that γ – rays are harmful radiations emitted by natural radioactive substances.
i) Which are other radiations from such substances?
ii) Tabulate the following statements as applicable to each of the above radiations
(They are electromagnetic radiation. They have high penetrating power. They are electrons. They contain neutrons)
Answer:
(i). There are three types of radiations which emitted from natural Radioactive substances or elements, which are: -
Alpha rays or α-rays, beta rays or β-rays, gamma rays or γ-rays.
The first two alpha and beta rays consist of charges with them but the third one the gamma rays is made of energy only.
(ii). The table is here,
The first two alpha and beta rays consist of charges with them but the third one the gamma rays is made of energy only.
Question 7.
Draw the schematic diagram of an electric circuit consisting of a battery of two cells of 1.5V each, three resistances of 5-ohm, 10 ohm and 15 ohms respectively and a plug key all connected in series.
Answer:
This is the circuit having one plug key, one 5 ohm resistor, one 10 ohm resistor, one 15 ohm resistor and a battery of 2 cells each 1.5 V and everything is connected in series, so the battery is total of 3 V. As you can see there is open plug key, so, there is no current flowing in the circuit and hence we say that it is an open circuit.
As you can see it is the similar circuit as we have drawn the above one, but the only difference is in the plug key, this time the plug key is closed through which the circuit gets closed and gets completed connection, so, there is flow of current and remember the direction of flow of current is always in opposite direction of the flow of electrons, that is from positive to negative terminal conventionally.
Question 8.
Fuse wire is made up of an alloy of ___________ which has high resistance and_______.
Answer:
Accordingly Low melting point.
Nickel, Chromium, Manganese, Iron, Zinc, Tin type of metals and the most common Domestically used fuse wire is of an alloy Nichrome .
The alloy of fuse wire is made and tested that it should have low melting point accordingly, so that it is able to break the circuit by melting when high ampere of current passes through it which can destroy our electrical appliances.
Question 9.
Observe the circuit given and find the resistance across AB.
Answer:
As we can see there are two sets of resistors, one is at left and the other is at right, both have 2 resistors in parallel each of 1 ohm. As the sets have parallel resistors, so, we can simplify them and make them one resistor to get the equivalent resistance of the circuit.
We will solve one set first and in the similar way the second set, we know that when resistors are parallel we add the reciprocals of the resistors and we equate it to the reciprocal of the total resistance after cross-multiplying we get the total resistance of the circuit.
Let the total resistance of the set A be RA and the total resistance of the set B be RB.
So,
, RA
Similarly, RB = , Hence as the two resistors in the sets are simplified and merged to a single resistor in each set, Therefore the resistors now left are RA in set A and RB in set B which are in series with each other because when we resolved the 1 ohm resistors which were in parallel they got merged and attached to the main circuit wire.
Now when resistors are in series we add them algebraically or simply like we add two integer numbers.
R = r1 + r2 + …………………. add all the resistors
As RA and RB are 0.5 ohm calculated by us, so when we add them we get 1 ohm as the answer.
Question 10.
Complete the table choosing the right terms within the brackets.
(zinc, copper, carbon, lead, lead dioxide, aluminum.)
Answer:
This is the complete table and the answers are in the third column.
These are the answers because, the lead acid battery or accumulator has positive electrode of lead dioxide and leclanche cell has negative electrode of zinc, so we just need to look out for the patterns of questions to solve them.
Question 11.
How many electrons flow through an electric bulb every second, if the current that passes through the bulb is 1.6 A.
Answer:
As we know the relation , which tells us that current is equal to the flow of charge per unit time, that is in t seconds q amount of charge has flown or we can say that in 1 second
amount of charge has flown.
We have studied the relation q = n× e
Where q is total amount of charge; n is the number of electrons; e is the amount of charge on 1 electron which has value 1.6 X 10-19 C.
And is always constant(n).
In this problem we have to find n that is number of electrons, so we have the value of current I = 1.6 A and time t = 1 sec , and time will be 1 sec if q = 1.6C , as ,
electrons will emerge out of the bulb in one second or per second.
Question 12.
Vani’s hair dryer has a resistance of 50 Ω when it is first turned on.
i) How much current does the hair dryer draw from the 230 V – line in Vani’s house?
ii) What happens to the resistance of the hair dryer when it runs for a long time?
(Hint: As the temperature increases the resistance of the metallic conductor increases.)
Answer:
At time t = 0, the given initial resistance(R) of the hair dryer is 50 ohm
i). We are given with the input voltage(V) = 230 V and we have to find the amount of current withdrawn by the dryer which is actually the initial current drawn by the dryer, so,
By using ohm’s law, we will calculate the current,
V = I× R,
ii). As we know that the dryer is used to dry our hair and it does by throwing hot air on us and as time passes when we are using it, it becomes hot and when it’s temperature is increased by becoming hot, the resistance of the metallic parts increases , the resistance of the metals increases with the increase in temperature till a certain temperature or within a specific range. The longer we use the hair dryer the more hot it becomes and the more resistance is offered by it.
Question 13.
In the given network, find the equivalent resistance between A and B.
Answer:
To find the effective resistance of any typical network , first we should look out for small structures of the main structure which can be resolved and we should solve the question diagram by diagram provided each diagram is simplified from the previous one and don’t just interpret and solve some structures in between structures because there are no resistors in parallel or in series there they have more connections and it becomes more complex to solve from between, so try to solve from outside if it does not solve then go inside to simplify the whole structure, so, first solve the outer structures then go to the inner ones if the outer ones can be solved first.
ALWAYS REMEMBER THE MAJOR RULE :-
RESISTORS IN SERIES HAVE SAME CURRENT AND
RESISTORS IN PARALLEL HAVE SAME POTENTIAL DIFFERENCE.
By using this rule you can create a passage of current from any point where there is potential difference given in the question
In this question the point can be any but from only A and B the two points given in the circuit because between these points there is potential difference , THESE ARE CALLED GIVEN POINTS between which we have to calculate the effective resistance.
First the extreme left resistors will be solved as they are in series, so we will get, they will get added normally as integers.
Now again the left most resistors are to be solved but now they are parallel and to be calculated by parallel method of evaluation.
Now again we have to solve the left most two resistors at the top which are in series and will be added like integers.
Now again solve the left most resistors which are parallel, we will get,
Now solve the resistors in series, which will be,
Now solve the resistors in parallel which are at the top, which are evaluated to,
Now add the two 5 ohm resistors like integers because they are in series, for the last time,
Solve the two remaining 10 ohm resistors which are in parallel combination to each other,
Thus, we get the resultant or the final calculated resistance.
Question 14.
Old – fashioned serial lights were connected in a series across a 240V household line.
If a string of these lights consists of 12 bulbs, what is the potential difference across each bulb?
Answer:
We should not get afraid if there is no number data or less number data as there is everything in the question itself, As in the question there is given that the 12 bulbs are identical and there is the input voltage of 240 V, and the bulbs are connected in series which means the current is same in each and every bulb.
Suppose that each bulb has resistance ‘R’ and ‘I’ is the current passing through each bulb,
We have to find the potential difference across each bulb, which will come out to be same because the current passing and resistance of each bulb is same, and V = I× R, so V is same which is potential difference across one bulb.
By adding the resistance of all bulbs, we get,
Potential difference across all bulbs = (current through one bulb) × (resistance of all bulbs)
Which is, 240 = I× 12R = 12 IR, = 20
Now potential difference through one bulb is,
= 20 V, which is the required potential difference across each bulb.
Question 15.
Old – fashioned serial lights were connected in a series across a 240V household line.
If the bulbs were connected in parallel, what would be the potential difference across each bulb?
Answer:
We know that potential difference across each bulb is same when they are connected in parallel and in this case the bulbs too are identical that is they have same resistance and so the current will be divided in same proportion in each branch (to each resistor).
The conditions are same as in the previous case,
Effective resistance of the network is,
We get,
Rt , Let the current flowing in circuit is I,
By Ohm’s law, 240 = I× Rt ,
As current through circuit is I, so current through each bulb will be , because there are 12 bulbs through which current I is flowing so through one bulb the current will be
,
By Ohm’s law, , which is equal to 240 V.
Hence now we know the rule works always.
Question 16.
The figure is a part of a closed circuit. Find the currents i1, i2 and i3
Answer:
IMPORTANT RULE :- WHENEVER THERE ARE CURRENTS COMING FROM DIFFERENT WIRES AND GOING INTO SINGLE ANOTHER DIFFERENT WIRE (THROUGH WHICH THERE IS NO CURRENT COMING) THEN THE CURRENTS ARE ADDED AND IF CURRENT THROUGH ONE WIRE IS GOING INTO TWO DIFFERENT WIRES (WHICH DO NOT HAVE ANY CURRENT RUNNING THROUGH THEM INSTEAD OF THIS CURRENT) THEN THE CURRENT IS DIVIDED IN THEM ACCORDINGLY AND SUBTRACTED FROM THE MAIN COMING CURRENT.
If we know the main current one partition we can find other by using simple maths.
For example- 3A is the main current for forward going 1A and i2 , and 1A and i2 are the partitions of 3A current.
As there is law of conservation of energy.
There is always conservation of current(charge) ,
So 3 = 1 + i2 , by which we can get i2 which is = 3-1 = 2A.
Now to calculate i1 we must obtain the equation of it , which is
i1 + 2 = 3 , i1 = 3-2 = 1A.
Now to calculate i3 we will look at the point where it is getting divided and by whom that is , what is the main current of i3 and the second partition of the main current which is companion with i3,
As i2 = 2A is the main current and it’s one partition is 1.5A and second partition is i3 , so ,
i2 = i3 + 1.5 , 2 = i3 + 1.5 , i3 = 2 - 1.5 = 0.5A
Question 17.
If the reading of the Ideal voltmeter (V) in the given circuit is 6V, then find the reading of the ammeter (A).
Answer:
We are given with potential difference across 15 ohm resistor and we have to calculate the amount of current flowing in the circuit which will be the reading of ammeter.
Let the potential difference across 15 ohm resistor be V and the current flowing in the circuit be I. As we are given that the voltmeter is ideal which means that no current or very less current passes through it and hence nearly all the current passes through the 15 ohm resistor.
V = 6 V , R = 15 ohm , by using Ohm’s law , we get
V = I× R , ,
Always remember current passing through ideal voltmeter is always zero , Mathematically
I = 0 A, through an ideal voltmeter.
Question 18.
A wire of resistance 8 Ω is bent into a circle. Find the resistance across the diameter.
Answer:
As in this question we have to calculate net resistance across the diameter of the circle and we are given with the resistance of the wire across it’s free ends which is 8 ohm.
If we remember our previous questions in which we have calculate net resistance, we will know that the given points are whom across there is potential difference and these two points will not merge and form one-point, potential difference at one point is different from another point that is A and B have different potential.
But the potential difference across each resistor is same as they have same ending points A and B.
So, we are at conclusion, that the two resistors are parallel to each other and we can calculate the net resistance now, as the resistance of the full wire across it’s free ends is 8 ohm, So by the relation
We can say that by dividing the length to half of the original keeping other things constant which they are in this question, the resistance will reduce to half of the original, that is now the resistance of the two parallel wires is 4 ohm instead of 8 ohm.
Rt = 2 ohm, is the resistance across A and B (the diameter).
Question 19.
A wire is bent into a circle. The effective resistance across the diameter is 8 Ω. Find the resistance of the wire.
Answer:
In this question we are given with the resistance across the diameter AB which 8 ohms is, and we have to calculate the resistance of the wire formed from the circle across its free ends.
The situation of resistors is same as of previous question, So,
We need to find the resistance of the two parallel wires and then we can find the resistance of the total full wire.
Let the resistance of the parallel wires be R ohm each.
So, , Rt
,
We are given that Rt = 8 ohm, so, R = 2 Rt = 2× 8 = 16 ohm.
So, the total resistance of the full straight wire across it’s ends will be 16 + 16 = 2× 16 = 32 ohm, because R was the resistance of half wire.
Question 20.
Two bulbs of 40 W and 60 W are connected in series to an external potential difference. Which bulb will glow brighter? Why?
Answer:
Remember one thing whenever there is this type of question we will check the power dissipation in each bulb, the bulb dissipating more power will glow brighter than the bulb with dissipating less power. The dissipation of power depends upon the resistance of the bulb that is more the resistance of the bulb more is the dissipation of the power.
As the bulbs are connected in series that means there is same amount of current flowing through them, so,
Power(P) = potential difference(V)× current(I)
By Ohm’s law, V = I× R
So,
Where V is the rating voltage of the bulbs which a very important concept in is these types of questions.
We will have to take input voltage less than or equal to the V volt or the rating voltage of the bulbs otherwise our bulb will fuse out.
It is the power of 40 W bulb,
Now we have to calculate R1 of bulb 1, so
It is the power of 60 W bulb,
Now we have to calculate R2 of bulb 2, so
Now as we have got the resistance of bulb 1 and 2, so we will find the current flowing in the circuit , which is
Now let’s calculate power dissipation which is ,
P1 =
P2 =
As we can see that power dissipated by P1 is higher than that of P2 ,
So, bulb 1 with 40 W power will glow brighter than bulb 2 with 60 W power.
Question 21.
Two bulbs of 70 W and 50 W are connected in parallel to an external potential difference. Which bulb will glow brighter? Why?
Answer:
Remember in these type of questions we will have to calculate the amount of power dissipated by the bulbs , the bulbs dissipating more power will glow more brightly.
Again we will first evaluate the resistance of each bulb and after that the current flowing in the circuit , then we will put both the values of current and resistance to evaluate the power dissipation by each bulb.
Let the rating voltage of both the bulbs be same as the input voltage which is V volts.
P1 = , R1 =
, P1 = 50 W
P2 = , R2 =
, P2 = 70 W
Now to calculate the current flowing in the circuit,
The net resistance is R,
R =
Now let’s calculate power dissipation which is ,
P1 =
P2 =
Hence power dissipated by the bulb 2 which has 70 W power will glow more brighter than the 50 W bulb 1.
Hence, we got the same answers when the bulbs are connected in parallel combination.
Question 22.
Write about ocean thermal energy?
Answer:
OCEAN THERMAL ENERGY :-
The water at the surface of the sea or ocean which, has considerable depth or deepness, is heated by the Sun while as we go deeper and deeper in the ocean or sea the upcoming sections become relatively colder than the previous one. This difference in temperature is used to obtain energy in ocean-thermal-energy conversion plants. These plants can operate if the temperature difference between the water at the surface and water at depths up to 2 km is 293 K (20°C) or more. The warm surface-water is used to boil a volatile liquid like ammonia. The vapours of the liquid are then used to run the turbine of generator. The cold water from the depth of the ocean is pumped up and condense vapour again to liquid.
Question 23.
In a hydroelectric power plant, more electrical power can be generated if water falls from a greater height. Give reasons.
Answer:
In hydroelectric power plants, the electric energy is produced by potential energy of the water at a certain height , and potential energy increases with the increase of height of the water.
When water is taken at some height it gains potential energy and when water from this height is thrown the potential energy of the water starts converting into kinetic energy and when the water hits the turbine the kinetic energy rotates the turbine and hence the electricity or electric energy is generated by conversion.
The more is the height of the water, the more is the potential energy, the more is the kinetic energy and , hence the more is the electric energy.
Question 24.
What measures would you suggest to minimize environmental pollution caused by burning of fossil fuel?
Answer:
The oxides of carbon, nitrogen and sulphur that are released on burning fossil fuels are acidic oxides. These lead to acid rain which affects our water and soil resources. To reduce these kind of hazardous incidents, the following measures will help you to reduce these incidents:-
1. The pollution caused by burning fossil fuels can be reduced by increasing the efficiency of the combustion process.
2. Using various techniques to reduce the escape of harmful gases and convert them into non-harmful gases.
3. Use that fuel which could create less ashes, so that the ashes do not get into surroundings and pollute it.
4. Use that fuel which produces high level of heat and less level of smoke and gases.
Question 25.
What are the limitations in harnessing wind energy?
Answer:
Wind energy is an environment-friendly and efficient source of
renewable energy. It requires no recurring expenses for the production of electricity. But there are many limitations in harnessing wind energy, that are:-
1. Wind energy farms can be established only at those places where wind blows for the greatest part of a year.
2. The wind speed should also be higher than 15 km/h to maintain the required speed of the turbine.
3. There should be some back-up facilities (like storage cells) to take care of the energy needs during a period when there is no wind.
4. Establishment of wind energy farms requires large area of land and also the initial cost of establishment of the farm is quite high.
Question 26.
What is biomass? What can be done to obtain bioenergy using biomass?
Answer:
The fuels which are plants and animal’s products, the source of these fuels is said to be bio-mass. Bio means living things and mass means the matter that is matter obtained from the living.
As the bio-mass when burned do not provide much heat and give out a lot of smoke or pollution through them, so there is a method called bio gas plant. The plant has a dome-like structure built with
bricks. Anaerobic micro-organisms that do not require oxygen decompose or break down complex compounds of the cow-dung or sewage or dead plants, slurry. It takes a few days for the decomposition process to be complete and generate gases like methane, carbon dioxide, hydrogen and hydrogen sulphide.
After the above process the formed biogas is stored in the plant in a tank and can be used through pipes.
Question 27.
Which form of energy leads to the least amount of environmental pollution in the process of harnessing and utilization? Justify your answer.
Answer:
Solar energy is the energy which leads to the least amount of environmental pollution in the process of harnessing and utilizing it.
Because :-
1. The input of solar energy is the sun which is the ultimate source of energy and will never die and is nonpolluting.
2. There is no much activities or harming of nature when harnessing it like it is in wind energy, we have to consider large area of land and place windmills there that might include cutting of trees or digging of earth too deep.
3. There is no release of harmful gases as there is in geothermal energy when the melted rocks come to the surface of the earth from the core, then they release harmful gases when they form contact with water.
4. There is no burning of any fossil fuels like there is in thermal power plants and no radioactive waste as it is in nuclear power plants.
5. There is no disturbance caused to the wildlife, because we can place it on top of our home and use it while we are in our house , but there might be some disturbance caused to the aquatic life in energy from the sea methods and by hydroelectric power plant also.
Part-c
Question 1.Veena’s car radio will run from a 12 V car battery that produces a current of 0.20 A even when the car engine is turned off. The car battery will no longer operate when it has lost 1.2 x 106 J of energy. If Veena gets out of the car, leaving the radio on by mistake, how long will it take for the car battery to go completely dead, i.e. lose all energy?
(1 day = 86400 second)
Answer:In this question we need to find the time taken (T) by the car to go dead when the radio is left on by Veena , We are given with the amount of energy car can supply (E) which is 1.2 X 106 .
We are also given with the car battery’s potential difference (V) which it can give which is 12 V , and the amount of current produced (I) is 0.2 A .
By using the equation , E = V× I× T , ![](data:image/png;base64,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)
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1 day = 86400 seconds, 5 X 105 seconds = ![](data:image/png;base64,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)
Question 2.Find the total current that passes through the circuit. Find the heat generated across the each resistor.
![](data:image/png;base64,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)
Answer:First we need to find the total current (I) flowing in the circuit, that we can find by using Ohm’s law, because we are given with the battery’s potential difference (V) and we need to find the net resistance of the circuit (R).
As we can see there are 3 resistors 4 ohm, 6 ohm and 12 ohm, and there are two resistors in parallel the 6 and 12 ohm ones, sowe will first solve the parallel ones and get the parallel resistance Rp
![](data:image/png;base64,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)
Rp = 4 ohm
Now the net resistance will come by simply adding the Rp = 4 ohm and the other 4 ohm resistor because they both are now in series,
So,
R = Rp + 4 = 4 + 4 = 8 ohm
R = 8 ohm
By using Ohm’s law, V = I× R, ![](data:image/png;base64,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)
![](data:image/png;base64,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)
Now we need to find the heat generated across each resistor, which we will do by using Joule’s law of heating,
Mathematically, ![](data:image/png;base64,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)
Where I is current passing through conductor; T is time; R is resistance of the conductor; and H is heat generated across the conductor.
As the 4 ohm resistor is alone and in series so current I1 passing through it will be equal to the total current passing through the circuit ,
Which is 2 A and the potential difference across the 4 ohm resistor is
V = I× R = 2× 4 = 8 V
Now the two resistors 6 and 12 ohm are in parallel that is they have same potential difference across them which is 8 V because the battery has total potential difference of 16 V and 8 V is consumed by the 4 ohm resistor which is in series and alone so , 16-8 = 8 V the remaining potential difference is 8 V which is consumed by both 6 and 12 ohm resistors in parallel.
Let the current passing through 6-ohm resistor be I2 and current passing through 12 ohm resistor be I3 .
By Ohm’s law,
V = I2× R2, ![](data:image/png;base64,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)
![](data:image/png;base64,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)
V = I3× R3 , ![](data:image/png;base64,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)
![](data:image/png;base64,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)
Heat generated by 4-ohm resistor,
![](data:image/png;base64,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)
Heat generated by 6-ohm resistor,
![](data:image/png;base64,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)
Heat generated by 12-ohm resistor,
![](data:image/png;base64,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)
Time will be same for all the resistors always, in this case as no time is given so we will calculate for one second of heat generated or we can leave the answer in terms of T.
Question 3.Find the total current that passes through the circuit given in the diagram. Also find the potential difference across 1Ω resistor.
![](data:image/png;base64,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)
Answer:To find the total current(I) passing through the circuit, we must find the total resistance(R) and also we know the battery’s potential difference(V) which is 1.5 V , so by Ohm’s law we can find the net current flowing in the circuit.
As we can see by the figure that two resistors 1 ohm and 2 ohm are in series to each other, so we can directly add them , 1 + 2 = 3 ohm,
Also we can see that 3 resistors 4 ohm , 6 ohm , and 12 ohm are parallel to each other , so , let the net parallel resistance of these three resistors be Rp ,
![](data:image/png;base64,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)
Therefore, Rp = 2 ohm
Hence by Ohm’s law, V = I× R
![](data:image/png;base64,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)
As the current passing through 1 ohm resistor is the net current flowing in the circuit, so
V = I× R = 0.75× 1 = 0.75 V. It is the potential difference(V) across the 1 ohm resistor.
Question 4.Raman’s air-conditioner consumes 2160 W of power, when a current of 9.0 A passes through it.
i) What is the voltage drop when the air-conditioner is running?
ii) How does this compare to the usual household voltage?
iii) What would happen if Raman tried connecting his air-conditioner to a 120V line?
Answer:We are given the amount of power consumed by Raman’s air-conditioner when a current of 9 A flows through it.
(i). The meaning of voltage drop simply means the potential difference across Raman’s air conditioner when it is running which we have to find ,
Now to find the potential difference by knowing power and amount of electric current passing through passing through it we can use this relation ,
P = V× I , ![](data:image/png;base64,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)
V
(ii). In India, we have a household voltage of 220 V current supply,
which changes time to time and in very short time intervals.
As there is no major difference in 220 V and 240 V A.C. supply , which we will study in higher classes not in this class in detail , So yes these are comparable voltages and this air conditioner can be used in houses.
(iii). If raman tries to connect his air conditioner to a 120 V supply line , then his air conditioner would do less amount of work and deliver less power(rate of doing work) , also as it’s potential difference is reduced to half and of course it’s resistance is constant , so the current passing through it would also become less and will be reduced to half itself , so basically the power would become 1/4th of the original power , also this situation might destroy your appliance or the air conditioner in Raman’s case.
Question 5.The effective resistance of three resistors connected in parallel is 60/47 Ω. When one wire breaks, the effective resistance becomes 15/8 ohms. Find the resistance of the wire that is broken.
Answer:As the three resistors are in parallel combination to each other , so , let the total resistance of the 3 resistors be R3 and the total resistance of the two resistors be R2 ,
Let the three resistors be Ra , Rb , Rc .
First we will calculate the total resistance of 3 resistors,
![](data:image/png;base64,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)
We are given with the values of R3 = 60/47 ohm and R2 = 15/8 ohms ,
When one wire is broken down , let the wire be of resistance Ra , so
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAAAvCAMAAACrF8rlAAAAAXNSR0IArs4c6QAAAJBQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZpDbZrbbZrb/kDoAkDo6kGY6kLbbkNv/tmYAtmY6tmaQtpA6ttv/tv//25A625Bm27Zm27aQ29u22////7Zm/9uQ/9u2//+2///b1aVdDQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACeUlEQVRoQ+2Ze1uCMBTGN0yLblamGalURhIX9/2/XdsYMi4xXtSiYn/4+Dzy23k5O2ewV0L6cdwM+LMVGgBGYIBsLim1HvLC4ikdvGFaYQQGCPGsOSEbeqcri8ZrD9QKIzBACHPOhEp3FOTTiGrlNIygQKpVKtYGOs93aCUhFTVgFTupk1qJb/PeKjV9J7VGNm8rjz7+ghpgjuiq5LPr9bqdJPtAcYvqYg2ojJb3rHIJm54NHorgAL0Nis8CtuD9Rk8KD7NarTACAyK8eMYOl6ak9b/3GdgnA8wp7t77zHZcttd6nPz+SF5dvusmA9r2Ia3NY+zEaF8Mya5HqkJXEKYFbYGYpqz+HcpruxBlqvn65FhIa8sYh7pFSOuhgrac579rfV/xA4LsuOt18xTiCE5INcqmicT7qtw05TnBt5H9E0dwgpCdTRPZ6dtF4heUz4o1ecYRnCCZTVPUGuY9o/qCSCIjCE4IBeoIWMorUgMqSwCCE19r9YVn0HjIyBCCEzmt1zYdCvNF9iiQolZIiyBZDbCnOYkdIVHccjwZIuarhni06OFVrk6LIJlWOaN0i+TyhEnIjymlN+ZS0BG3sdY0iHn+9ArdXpG7ngzMZIq398sKA7E8t4YQQGsSBBhKqyt6SeY18YwiW/lb0bl5Ph1xT5+pZTwJ6gRbUDpqVHLKpnH5LcYO97RE1Quxruovz7wh5BB3sDb72zrBFyWILsxaM5smnvHuH5dfAjYNyjW3iqIGmqzFDoIurisYD5Uq6xUKD11cozXkUkNj8eXzOgrYK/IXDi/dgL0UzF+g4dSl24l4+QK1XnEjz9yOmphoCgL4jfTEX83AJw8sQNYyRUVbAAAAAElFTkSuQmCC)
Put the value of two resistor equation in three resistor equation ,
We get ,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Hence this is the required resistance.
Question 6.Find the resistance across
A and D
![](data:image/png;base64,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)
Answer:In order to find the total resistance, first we need to memorize the rule which we have learned which is , THE POINTS WHO’S ACROSS WE HAVE TO EVALUATE THE TOTAL RESISTANCE ARE THE GIVEN POINTS AND WE CONSIDER OR IMAGINE THAT A BATTERY IS CONNECTED TO THE CIRCUIT THROUGH THESE TWO POINTS ONLY .
And the rest are the normal points of the circuit.
A and D are the given points in this part of the question and the rest of the points are the simple points (that is B and C).
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)
As the resistors in the line BC are in series and the resistors in the line AD are also in series with each other , so they will get added like integers or they will be simply added.
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Now merge the points B into A and C into D , because they have same potential , all the three resistors are parallel to each other ,
By solving we will get ,
![](data:image/jpeg;base64,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)
These two resistors are in parallel combination , so when we solve these two we will get ,
![](data:image/jpeg;base64,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)
This is the resultant resistance.
Question 7.Find the resistance across
B and D.
![](data:image/png;base64,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)
Answer:In order to find the total resistance, first we need to memorize the rule which we have learned which is , THE POINTS WHOSE ACROSS WE HAVE TO EVALUATE THE TOTAL RESISTANCE ARE THE GIVEN POINTS AND WE CONSIDER OR IMAGINE THAT A BATTERY IS CONNECTED TO THE CIRCUIT THROUGH THESE TWO POINTS ONLY .
B and D are the given points in this part and the remaining are the simple points to deal with (that is A and C).
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)
The resistors in the line BC are in series as well as the resistors in the line AD are also in series with each other, so by solving we get
![](data:image/jpeg;base64,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)
Merge the point A into point B and also merge the point C into point D, all three resistors are parallel to each other, so,
![](data:image/jpeg;base64,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)
These two resistors are parallel to each other, so by solving them we get,
![](data:image/jpeg;base64,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)
Thus, it is the resultant or total resistance.
Question 8.Explain the two different ways of harnessing energy from the ocean.
Answer:Basically there are three ways of harnessing energy from the oceans and seas, but we are today going to discuss only two,
Which are :-
1. OCEAN THERMAL ENERGY :-
The water at the surface of the sea or ocean which, has considerable depth or deepness, is heated by the Sun while as we go deeper and deeper in the ocean or sea the upcoming sections become relatively colder than the previous one. This difference in temperature is used to obtain energy in ocean-thermal-energy conversion plants. These plants can operate if the temperature difference between the water at the surface and water at depths up to 2 km is 293 K (20°C) or more. The warm surface-water is used to boil a volatile liquid like ammonia. The vapours of the liquid are then used to run the turbine of generator. The cold water from the depth of the ocean is pumped up and condense vapour again to liquid.
2. OCEAN TIDAL ENERGY :-
Due to the gravitational pull of mainly the moon on the spinning earth, the level of water in the sea rises and falls. This phenomenon is called high and low tides and the difference in sea-levels gives us tidal energy by the same method as we saw in hydroelectric power plant , but in this method the gravitational energy by moon gives potential energy as well as kinetic energy to the water thereby there is formation of tides or waves. Tidal energy is harnessed by constructing a dam across a narrow opening to the sea. A turbine fixed at the opening of the dam converts tidal energy to electricity.
There is also Ocean wave energy.
Question 9.Five resistors of resistance ‘R’ are connected such that they form a letter ‘A’. Find the effective resistance across the free ends.
Answer:The simple resistors must be identified and after that they must be first solved and when they are solved look for again the simple resistors pattern solve till you end up with only one resistor.
![](data:image/jpeg;base64,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)
We will solve diagram by diagram,
First we will add the two top most resistors because they are in series, we get ,
![](data:image/jpeg;base64,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)
Now the two topmost resistors are parallel to each other because their free ends are attached to same points if we look it as wire.
We get,
![](data:image/jpeg;base64,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)
Now these three are in series with each other, so we will add them simply like we are adding integers.
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We will get,
Therefore, the total or the resultant resistance is = 8R/3 ohm.
Veena’s car radio will run from a 12 V car battery that produces a current of 0.20 A even when the car engine is turned off. The car battery will no longer operate when it has lost 1.2 x 106 J of energy. If Veena gets out of the car, leaving the radio on by mistake, how long will it take for the car battery to go completely dead, i.e. lose all energy?
(1 day = 86400 second)
Answer:
In this question we need to find the time taken (T) by the car to go dead when the radio is left on by Veena , We are given with the amount of energy car can supply (E) which is 1.2 X 106 .
We are also given with the car battery’s potential difference (V) which it can give which is 12 V , and the amount of current produced (I) is 0.2 A .
By using the equation , E = V× I× T ,
1 day = 86400 seconds, 5 X 105 seconds =
Question 2.
Find the total current that passes through the circuit. Find the heat generated across the each resistor.
Answer:
First we need to find the total current (I) flowing in the circuit, that we can find by using Ohm’s law, because we are given with the battery’s potential difference (V) and we need to find the net resistance of the circuit (R).
As we can see there are 3 resistors 4 ohm, 6 ohm and 12 ohm, and there are two resistors in parallel the 6 and 12 ohm ones, sowe will first solve the parallel ones and get the parallel resistance Rp
Rp = 4 ohm
Now the net resistance will come by simply adding the Rp = 4 ohm and the other 4 ohm resistor because they both are now in series,
So,
R = Rp + 4 = 4 + 4 = 8 ohm
R = 8 ohm
By using Ohm’s law, V = I× R,
Now we need to find the heat generated across each resistor, which we will do by using Joule’s law of heating,
Mathematically,
Where I is current passing through conductor; T is time; R is resistance of the conductor; and H is heat generated across the conductor.
As the 4 ohm resistor is alone and in series so current I1 passing through it will be equal to the total current passing through the circuit ,
Which is 2 A and the potential difference across the 4 ohm resistor is
V = I× R = 2× 4 = 8 V
Now the two resistors 6 and 12 ohm are in parallel that is they have same potential difference across them which is 8 V because the battery has total potential difference of 16 V and 8 V is consumed by the 4 ohm resistor which is in series and alone so , 16-8 = 8 V the remaining potential difference is 8 V which is consumed by both 6 and 12 ohm resistors in parallel.
Let the current passing through 6-ohm resistor be I2 and current passing through 12 ohm resistor be I3 .
By Ohm’s law,
V = I2× R2,
V = I3× R3 ,
Heat generated by 4-ohm resistor,
Heat generated by 6-ohm resistor,
Heat generated by 12-ohm resistor,
Time will be same for all the resistors always, in this case as no time is given so we will calculate for one second of heat generated or we can leave the answer in terms of T.
Question 3.
Find the total current that passes through the circuit given in the diagram. Also find the potential difference across 1Ω resistor.
Answer:
To find the total current(I) passing through the circuit, we must find the total resistance(R) and also we know the battery’s potential difference(V) which is 1.5 V , so by Ohm’s law we can find the net current flowing in the circuit.
As we can see by the figure that two resistors 1 ohm and 2 ohm are in series to each other, so we can directly add them , 1 + 2 = 3 ohm,
Also we can see that 3 resistors 4 ohm , 6 ohm , and 12 ohm are parallel to each other , so , let the net parallel resistance of these three resistors be Rp ,
Therefore, Rp = 2 ohm
Hence by Ohm’s law, V = I× R
As the current passing through 1 ohm resistor is the net current flowing in the circuit, so
V = I× R = 0.75× 1 = 0.75 V. It is the potential difference(V) across the 1 ohm resistor.
Question 4.
Raman’s air-conditioner consumes 2160 W of power, when a current of 9.0 A passes through it.
i) What is the voltage drop when the air-conditioner is running?
ii) How does this compare to the usual household voltage?
iii) What would happen if Raman tried connecting his air-conditioner to a 120V line?
Answer:
We are given the amount of power consumed by Raman’s air-conditioner when a current of 9 A flows through it.
(i). The meaning of voltage drop simply means the potential difference across Raman’s air conditioner when it is running which we have to find ,
Now to find the potential difference by knowing power and amount of electric current passing through passing through it we can use this relation ,
P = V× I ,
V
(ii). In India, we have a household voltage of 220 V current supply,
which changes time to time and in very short time intervals.
As there is no major difference in 220 V and 240 V A.C. supply , which we will study in higher classes not in this class in detail , So yes these are comparable voltages and this air conditioner can be used in houses.
(iii). If raman tries to connect his air conditioner to a 120 V supply line , then his air conditioner would do less amount of work and deliver less power(rate of doing work) , also as it’s potential difference is reduced to half and of course it’s resistance is constant , so the current passing through it would also become less and will be reduced to half itself , so basically the power would become 1/4th of the original power , also this situation might destroy your appliance or the air conditioner in Raman’s case.
Question 5.
The effective resistance of three resistors connected in parallel is 60/47 Ω. When one wire breaks, the effective resistance becomes 15/8 ohms. Find the resistance of the wire that is broken.
Answer:
As the three resistors are in parallel combination to each other , so , let the total resistance of the 3 resistors be R3 and the total resistance of the two resistors be R2 ,
Let the three resistors be Ra , Rb , Rc .
First we will calculate the total resistance of 3 resistors,
We are given with the values of R3 = 60/47 ohm and R2 = 15/8 ohms ,
When one wire is broken down , let the wire be of resistance Ra , so
Put the value of two resistor equation in three resistor equation ,
We get ,
Hence this is the required resistance.
Question 6.
Find the resistance across
A and D
Answer:
In order to find the total resistance, first we need to memorize the rule which we have learned which is , THE POINTS WHO’S ACROSS WE HAVE TO EVALUATE THE TOTAL RESISTANCE ARE THE GIVEN POINTS AND WE CONSIDER OR IMAGINE THAT A BATTERY IS CONNECTED TO THE CIRCUIT THROUGH THESE TWO POINTS ONLY .
And the rest are the normal points of the circuit.
A and D are the given points in this part of the question and the rest of the points are the simple points (that is B and C).
As the resistors in the line BC are in series and the resistors in the line AD are also in series with each other , so they will get added like integers or they will be simply added.
Now merge the points B into A and C into D , because they have same potential , all the three resistors are parallel to each other ,
By solving we will get ,
These two resistors are in parallel combination , so when we solve these two we will get ,
This is the resultant resistance.
Question 7.
Find the resistance across
B and D.
Answer:
In order to find the total resistance, first we need to memorize the rule which we have learned which is , THE POINTS WHOSE ACROSS WE HAVE TO EVALUATE THE TOTAL RESISTANCE ARE THE GIVEN POINTS AND WE CONSIDER OR IMAGINE THAT A BATTERY IS CONNECTED TO THE CIRCUIT THROUGH THESE TWO POINTS ONLY .
B and D are the given points in this part and the remaining are the simple points to deal with (that is A and C).
The resistors in the line BC are in series as well as the resistors in the line AD are also in series with each other, so by solving we get
Merge the point A into point B and also merge the point C into point D, all three resistors are parallel to each other, so,
These two resistors are parallel to each other, so by solving them we get,
Thus, it is the resultant or total resistance.
Question 8.
Explain the two different ways of harnessing energy from the ocean.
Answer:
Basically there are three ways of harnessing energy from the oceans and seas, but we are today going to discuss only two,
Which are :-
1. OCEAN THERMAL ENERGY :-
The water at the surface of the sea or ocean which, has considerable depth or deepness, is heated by the Sun while as we go deeper and deeper in the ocean or sea the upcoming sections become relatively colder than the previous one. This difference in temperature is used to obtain energy in ocean-thermal-energy conversion plants. These plants can operate if the temperature difference between the water at the surface and water at depths up to 2 km is 293 K (20°C) or more. The warm surface-water is used to boil a volatile liquid like ammonia. The vapours of the liquid are then used to run the turbine of generator. The cold water from the depth of the ocean is pumped up and condense vapour again to liquid.
2. OCEAN TIDAL ENERGY :-
Due to the gravitational pull of mainly the moon on the spinning earth, the level of water in the sea rises and falls. This phenomenon is called high and low tides and the difference in sea-levels gives us tidal energy by the same method as we saw in hydroelectric power plant , but in this method the gravitational energy by moon gives potential energy as well as kinetic energy to the water thereby there is formation of tides or waves. Tidal energy is harnessed by constructing a dam across a narrow opening to the sea. A turbine fixed at the opening of the dam converts tidal energy to electricity.
There is also Ocean wave energy.
Question 9.
Five resistors of resistance ‘R’ are connected such that they form a letter ‘A’. Find the effective resistance across the free ends.
Answer:
The simple resistors must be identified and after that they must be first solved and when they are solved look for again the simple resistors pattern solve till you end up with only one resistor.
We will solve diagram by diagram,
First we will add the two top most resistors because they are in series, we get ,
Now the two topmost resistors are parallel to each other because their free ends are attached to same points if we look it as wire.
We get,
Now these three are in series with each other, so we will add them simply like we are adding integers.
We will get,
Therefore, the total or the resultant resistance is = 8R/3 ohm.