Class 9th Science Tamilnadu Board Solution
Multiple Choice Questions- The field of view * is maximum for ______________(* FOV is the extent of the observable…
- When a ray of light passes from one medium to another medium, refraction takes place when…
- __________ is used as reflectors in torchlight
- We can create enlarged, virtual images with
- When the reflecting surface is curved outwards the mirror formed will be…
- The focal length of a concave mirror is 5cm. Its radius of curvature is…
- When a beam of white light passes through a prism it gets
- The speed of light is maximum in
- A real and enlarged image can be obtained by using a
- Which of the following statements about total internal reflection is true?…
Cross Word PuzzleHots- Light ray emerges from water into air. Draw a ray diagram indicating the change in its…
- When a ray of light passes from air into glass, is the angle of refraction greater than or…
- What do you conclude about the speed of light in a diamond if you are told that the…
True Or False- The angle of deviation depends on the refractive index of the glass…
- If a ray of light passes obliquely from one medium to another, it does not suffer any…
- If the object is at infinity in front of a convex mirror the image is formed at infinity.…
- An object is placed at distance of 3 cm from a plane mirror. The distance of the object…
- The convex mirror always produces a virtual, diminished and erect image of the object.…
- The distance from centre of curvature of the mirror to the pole is called the focal length…
- When an object is at the centre of curvature of concave mirror the image formed will be…
- Light is one of the slowest travelling energy with a speed of 3 × 10–8 ms-1…
- The angle of incidence at which the angle of refraction is 0° is called the critical…
- The reason for brilliance of diamonds is mainly due to total internal reflection of light.…
Fill In The Blanks- In going from a rarer to denser medium, the ray of light bends _______…
- The ratio of sine of the angle of incidence to the sine of _______ is a constant.…
- The mirror used in search light is ______.
- The angle of deviation of light ray in a prism depends on the angle of _____.…
- The radius of curvature of a concave mirror whose focal length is 5cm is _____.…
- A spherical mirror whose reflecting surface is curved outwards is called ________mirror…
- Large ________ mirrors are used to concentrate sunlight to produce heat in solar furnaces…
- All distances parallel to the principal axis are measured from the ______ of the mirror…
- A negative sign in the value of magnification indicates that the image is _________.…
- Light is refracted or bent while going from one medium to another because its _______…
Match The FollowingAssertion And Reason Type- In the following questions, the statement of assertion is followed by a reason. Mark the…
- In the following questions, the statement of assertion is followed by a reason. Mark the…
Very Short Answer Type- Give two examples of transparent medium that are denser than air.…
- According to cartesion sign convention, which mirror and which lens has negative focal…
- A coin in a glass beaker appears to rise as the beaker is slowly filled with water, why?…
- Name the mirror(s) that can give (i) an erect and enlarged image, (ii) same sized,…
- Name the spherical mirror(s) that has/havei) Virtual principal focusii) Real principal…
- If an object is placed at the focus of a concave mirror, where is the image formed?…
- Copy this figure in your answer book and show the direction of the light ray after…
- Why does a ray of light bend when it travels from one medium to another?…
- What is the speed of light in a vacuum? Who first measured the speed of light?…
- Concave mirrors are used by dentists to examine teeth. Why?
Short Answer Type- a) Complete the diagram to show how a concave mirror forms the image of the object.b) What…
- Pick out the concave and convex mirrors from the following and tabulate themRear-view…
- State the direction of incident ray which after reflection from a spherical mirror…
- What is meant by magnification? Write its expression. What is its sign for thea) real…
- Write the spherical mirror formula and explain the meaning of each symbol used in it.…
Long Answer Type- a) Draw ray diagrams to show how the image is formed, using a concave mirror when the…
- Explain with diagrams how refraction of incident light takes place froma) rarer to denser…
- State and verify laws of refraction using a glass slab.
- Draw a ray diagram to show the formation of image by a concave mirror for an object placed…
Numerical Problem- The radius of curvature of a convex mirror is 40 cm. Find its focal length…
- An object of height 2 cm is placed at a distance 20 cm in front of a concave mirror of…
- A concave mirror produces three times magnified real image of an object placed at 7 cm in…
- Light enters from air into a glass plate having refractive index 1.5. What is the speed of…
- The speed of light in water is 2.25 × 108 ms-1. If the speed of light in vacuum is 3 × 108…
- The field of view * is maximum for ______________(* FOV is the extent of the observable…
- When a ray of light passes from one medium to another medium, refraction takes place when…
- __________ is used as reflectors in torchlight
- We can create enlarged, virtual images with
- When the reflecting surface is curved outwards the mirror formed will be…
- The focal length of a concave mirror is 5cm. Its radius of curvature is…
- When a beam of white light passes through a prism it gets
- The speed of light is maximum in
- A real and enlarged image can be obtained by using a
- Which of the following statements about total internal reflection is true?…
- Light ray emerges from water into air. Draw a ray diagram indicating the change in its…
- When a ray of light passes from air into glass, is the angle of refraction greater than or…
- What do you conclude about the speed of light in a diamond if you are told that the…
- The angle of deviation depends on the refractive index of the glass…
- If a ray of light passes obliquely from one medium to another, it does not suffer any…
- If the object is at infinity in front of a convex mirror the image is formed at infinity.…
- An object is placed at distance of 3 cm from a plane mirror. The distance of the object…
- The convex mirror always produces a virtual, diminished and erect image of the object.…
- The distance from centre of curvature of the mirror to the pole is called the focal length…
- When an object is at the centre of curvature of concave mirror the image formed will be…
- Light is one of the slowest travelling energy with a speed of 3 × 10–8 ms-1…
- The angle of incidence at which the angle of refraction is 0° is called the critical…
- The reason for brilliance of diamonds is mainly due to total internal reflection of light.…
- In going from a rarer to denser medium, the ray of light bends _______…
- The ratio of sine of the angle of incidence to the sine of _______ is a constant.…
- The mirror used in search light is ______.
- The angle of deviation of light ray in a prism depends on the angle of _____.…
- The radius of curvature of a concave mirror whose focal length is 5cm is _____.…
- A spherical mirror whose reflecting surface is curved outwards is called ________mirror…
- Large ________ mirrors are used to concentrate sunlight to produce heat in solar furnaces…
- All distances parallel to the principal axis are measured from the ______ of the mirror…
- A negative sign in the value of magnification indicates that the image is _________.…
- Light is refracted or bent while going from one medium to another because its _______…
- In the following questions, the statement of assertion is followed by a reason. Mark the…
- In the following questions, the statement of assertion is followed by a reason. Mark the…
- Give two examples of transparent medium that are denser than air.…
- According to cartesion sign convention, which mirror and which lens has negative focal…
- A coin in a glass beaker appears to rise as the beaker is slowly filled with water, why?…
- Name the mirror(s) that can give (i) an erect and enlarged image, (ii) same sized,…
- Name the spherical mirror(s) that has/havei) Virtual principal focusii) Real principal…
- If an object is placed at the focus of a concave mirror, where is the image formed?…
- Copy this figure in your answer book and show the direction of the light ray after…
- Why does a ray of light bend when it travels from one medium to another?…
- What is the speed of light in a vacuum? Who first measured the speed of light?…
- Concave mirrors are used by dentists to examine teeth. Why?
- a) Complete the diagram to show how a concave mirror forms the image of the object.b) What…
- Pick out the concave and convex mirrors from the following and tabulate themRear-view…
- State the direction of incident ray which after reflection from a spherical mirror…
- What is meant by magnification? Write its expression. What is its sign for thea) real…
- Write the spherical mirror formula and explain the meaning of each symbol used in it.…
- a) Draw ray diagrams to show how the image is formed, using a concave mirror when the…
- Explain with diagrams how refraction of incident light takes place froma) rarer to denser…
- State and verify laws of refraction using a glass slab.
- Draw a ray diagram to show the formation of image by a concave mirror for an object placed…
- The radius of curvature of a convex mirror is 40 cm. Find its focal length…
- An object of height 2 cm is placed at a distance 20 cm in front of a concave mirror of…
- A concave mirror produces three times magnified real image of an object placed at 7 cm in…
- Light enters from air into a glass plate having refractive index 1.5. What is the speed of…
- The speed of light in water is 2.25 × 108 ms-1. If the speed of light in vacuum is 3 × 108…
Multiple Choice Questions
Question 1.The field of view * is maximum for ______________
(* FOV is the extent of the observable area that is seen at any given instant )
A. plane mirror
B. concave mirror
C. convex mirror
Answer:The field of view is maximum for b)convex mirror because it always forms virtual ,erect .small sized image of object. That is the reason we use convex mirror in our vehicles.
(A) This is incorrect because –
plane mirror always form equal size image of object ,this is the reason we not prefer plan mirror for large field of view.
(B) This is incorrect because-
Concave mirror has small field of view then convex mirror .
Question 2.When a ray of light passes from one medium to another medium, refraction takes place when angle of incidence is
A. 0°
B. 45°
C. 90°
Answer:45 , if ray is travelling from lighter to denser medium then after refraction it bend towards the normal between the surfaces.
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(a) If angle of incident is 0. Then the ray will go on its own path it will not show any deflection . so there is no refraction.
SEE the figure below to get an idea how ray will travel when angle of incident is zero.
So this option is incorrect
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP0AAACzCAIAAADNBY23AAAAAXNSR0IArs4c6QAAJVFJREFUeF7tXQd8FMX3v93rdymXnpBAegglQCCFBJKgICCKIkX8W1AEBQRREVGKFGmC9N5UQFBCDUUEKaGXhJJOQnrvPbm+u/+3tySGUBLQ8Lu7nfEjn8vuzOy87/vO2zezM28wiqI4KCEEWIYAzjJ5kbgIARoBxHvEAzYigHjPRq0jmRHvEQfYiADiPRu1jmRGvEccYCMCiPds1DqSGfEecYCNCLCF9/B5LiEhoba2lo1KRjI/ggBbeH/w4MFevXpNnDiRJElEA4QAW3ifn58PJj83NxfDMKR1hABbeC8QCMDS/0+MPfS3+vr6uro6NrMNxAcnk1kMBmjU1NQ8XRdwt7q6Ri6XtxFobOE9QRAAJY/HezqON25c37p9a3F5+bPCDRqNPH9m27ZtJaWlzcqqVKrPJk14483hBYWFz1qtceQvKMwZ9d5bn0z+QqlUgUTTp00dOXJkZWXlU6Q7c+5E/wH9N27e3kamii28B4hbXHmq1Whmz5k+8dOJ58+eazFzM53V1FR/+83UCRMmRN+526ws/JmZmZF07355ecXz8VilVBYWFICNfL7i//NStTXViWnpWQUlupaQRTmZeZmZ1FMHWqWlBTHxMWXlVc0ar1QoCwsLn95nWiMvi3jfIhxcHi+kb2hIvxAXF+dnHQZIJJJXh7zZLzS0fbt2zcrCeIIvEHG4Qi6P32IbHpvh5qXLvXr47tjx87P2xud73H9eCl61GpLicBnxSQzEwLRPX/6OcUicKyYpbrPGpCen+PUMXLho6b98DyDe/wMs8PXTCZPXrV3bo3t3uFpSUpyZlQI/SstK4xIS8vOLmuqAosjMjJykxNS6etpx5/MFn0/9fNPGjZ06eTPZ1GrVvcSY9LQUcLEo0B/Oa1QVmLrU+8lJifHZOdmNdYI5T0+/D3+Wl5clJMbl5Ocwt+pqapJjYzUV1bnZeSkZedW19U2bUV5RlpycAC+znJy8nJxceBbcVSjkKSkpCQmJFRUP3jB5uVlpqffUajVTVqNRJ6UmZRYUNK1KpVKmpqVpNFpIMOebmpoGP5pmyEjPSkhISktPa7xYkJ2Zm0ZDlJaRlleQz1yvqa2JT0xITL5XJ3/QVBzHMAr+BxID23EeziW1WrLJxo+czLT4pLiM/IzGmnGcC3m5/If8Unm9/H7yPaVckV9QlJCSUVRWxuSHdsID4+ITU9KytK2cr4O+x4a0bt06AKhfWCiQ70nywq0J4963a9fu7IWLkGfqpE+7d+m0cNGPPXv6ycys3L19Io6fYIrDvNAn48bZ27vKZI4hfQbcT0klSe3HH7/r6OwdGx8PGcrKij96/0MzSzsHF8fRb4/w69rd2tEtPjEJbmVnZY4d+6GtjbWVpaVDO4fv5y1UKJRwff26nzq0d1m3dkO/0D5WFmburm7btv4K1zesXOYuEXuY2Njae5vL3H7bE95UhLWrlrs72i74fn7Xzn4eHt5ZWZkXIy8OeHmglaWVzMK8e/cev/++HyqZNXOajYVF+P6DTNm/T56QWplOnjULLHEjGhcjz3Z2c1m2dNU7oz+wtZFZWpp8+PGE4pJSyFCQnzdh7Pj2Tq5WFub29vbTvpkjV6jg+rRPPgzy8pozd14HV+c3h70J/Ptj3wH/wN5WlhY2lrL+g4ZERd2GbMkpsR3cvYJeGQnjVIoiRgzq7+HqXFxSAreKiwonjh/r4uRobWdu385uyufflFdUwPXf927hiYQzvl+osxoP0h97dnmYm7uZu9g6dDG1dFy0YhmIk5yc9NEHH1mZtbOxtrGwtB4xamxyStqTlfygKpbZ+5b2lilqayvKarWELp9Wm5lR8nv48Xlz5+34eYtWrZi3eHGZbsi7dPH8w0eOf/XVF6f/juji3eXs6bOgzup6hULD42A0pFtWrYw4eGLCp58dOnDY0tS8ODWVz+dwuRiwbMmCuccjji9bvvLipYtTpkxZveHX8PAIKEJR2vo64uef/5gw8bMjR47ayqx/WrIuNT3n3bHjp82ZWa2qe3v0mydP/jH0tUFN/SioUV5Ru3H1tg7ObqNHj8JwavWK1f3CXjofef7QwYM1tfK1m3fIlZpBrwwiVKrw8COMCT+0f49aQQ3u99JDc7qklqit3bhhh2N754iI4+Dw7doVvmffIcj/286daqX84KHwc5GRAYHB27fvTkpKhOsCSlWQmb15+86Q4NB+IaFFRUU7duyYPOmzS5cu//DDguuXo1at3kw7NRSHp8VwknkarlWT8FpipPhp4dyIIycWLFkeefbSwu8XQs2/7P4d3gQinoQvFIBT1PSFM/i1IT+uXwcu0isvhf55bP+498aoVIppX3526vSphUvmnzx54utpU45FHJn5/WK15sGbrWnxpr9ZxnvOUyfvMQwnSHi/Mr2DIoh6NTZz9vShb7w2YuTIPr39MtOyFXIYYuafO3PGq6P7pEnjAvz9Nu9YM27CxyRF8MBvJQioA9yMs3+fbtfe8fPJ44P8ApavXu3ZuROFYeALFRfkX75w2d3NTSwRJyXdEwolKhXv7LmL8DiCUNfXaSdN+mT0O/8XEtbPP6x3QUVJXGKShYVl916+Ggqzc7AN6u1vLjNvqj9gj4KiBrz5avj+XxYt+qFDe9dtv2579bWBKcnJpSUlMlPL7Jzy4rKK4JCXAvwC7kZFJ9+/X1pWcuH6ne49eoUG9W7ahXAc16i1g17pt3TJvKDgvt9MnyEVCGPvxMN81MTJk79fvCg3LzcjIxNMuVaF5+XS/Z8gOVqMnDvz299+2/XltGl2dnb7ft/t4uyUlJQkEEtFYnFxSTGgyeVyOcB92smhEyDM48DUGr+4qOD8yeN2NnZcnJeie2dKTcXXbt6kICf894iRksmse3h7a7QaUxOTPkG94c0THXX54uVLoS+FfDrxYz//gO++m907sPOdu9Ep6RlPHwuxjfdP6v8PrgMcAgwHAtN2CQfjLRSLpcw9M7FAW6cFkw7+a728xtnZU2ry4BZ8HKD1RBJcAuPjPIVCUV5TaWNvayazgIJ8gdDczIxH8YFk91NTFfL67Jzcb7+dM336d2vXbTY3M5WaSnT2HqiPicX0b10pnpaj1mroiT8tvIBgTPC4ndAkzXtOQFBvqZQuCIOKn5Ytf+PVt2Z9N2P2rBkF2Xk4JdSoCSDZoCGDastyYm7fjrxy9X522YCBA02kD9rPPBEeQak1nt6ePB49mjSXWdhIxeUFhdAfLkaeG/76kAmTJ02fMeP8uascSoQBODRGhFAqCg3ry/SfitLCqRM/eu+dkTO/nrFs8RKYH4PnwnV6YEM3nh57QIKLPIoLRcDVUclVxWXVc+Yt/Xra9BU/LuEJeDJLGbQEpp01KtoLa6YwrVZNaJQwPGCu5+YVcLiUo7MT0wAM57azNivJyysqKG5WsNmf7OI91cK3Wgreq6RGy3zSBXDBDjWyDRxNLmiLArPN5/ElxYXlYB0ZNOEWPWmDizCCq9FohAIBT2RaWlleX0cvBwLXol4uV0PNJAc6gFat6tWrZ1zsrYSE2KSE2znpV9evWUrXgnF49ADwgYJgQkMID9MpHqeAZTgfrOYjCW6rKG11/YN1RzFx0Tu2b+nh2+PKtZu37sR36upD0O8tmnDDhr/hYG26Z9fOjRt380zs3xo27JE5Kwxol52dx1hKRVWFvLbawc62prZ685oVNeWlRw4eio+N+3TCWOAeh4GSh4HkKpWaKXLqz5N/Hv7r888/v5MYF3nhkhm8mphs8C9OcrAHvKdFpS9TYpGYJDEvT/cb1/6OT4i/k5iUeT9u+9rVXJxLcTA+D/ycR3hPaTCuhi94wFtzUxm8c4pLGyaIKbKirNLe0trezg7xvikCLS9SoI2dDm1wLQmtGmuAHjSB8eAi4ejo1NPXN+Veyh/7ItIystau27J16w6YfwB2wSsCqCuRSrt171qQl3Mg/EhKSvKCOTNik+Jw8IS0mq4+3Tp36xIdfSM8/EBZWVlpaVnE0T9j42BCBphAz2E0zvnwKQzXkjwd1/kSExEXi42LT76f1uy7L7gQXLBy+AO5ampqgVNisQg+EEeeO1OYny3kkVw+zRIXz06BoUF3o69fv3orpG9gj85ezbCAboBz8COHTm/dE55yP2n9ulVKlSqwTyC8zeQKpVhoJuALExLiLkVGgncDJpmGCBeQOL/RoyAxkiPg8EUSEG33b7tqqytIYCX95sTpHtzAew04NBj9EvP09OgRHJSennHkyPGSkqLystKjf/516dp1ukNxG2V6iMAiU3OBBM/JTE9IvFdVVd07OKRLx66XLkTtOxCRmpGxes3K61ExfUNCvDu6P30mml32nmbXkxMwhicUmMhMGdeSJxZJpOCyN4yQMC5PyNESGqFQtHDB/E6dXD6f+mVASP9dO/d27doNw8HB4WhItZakXfwZ383u5uMzb+4Pr/QfVFhc8vLQtzAhlyQJHp//w48ru3Xv9s2Mb/r2fTmwd/CcuXPKy2hfWcAXU7iGIBseR1A8IZ+ZyPPy8Qkd2P+vv/7q26dvxOHDTT1XGMCJhXw+94Eeg4PC3h/z0ZXLl3oHBixZstDKzpLHVXAI2lkC2Yf/3wcikVSrIUcNHcjXOTMPmQQYeeJED79Oe/bs69Ovz/mL598dN2bE28NMTcy+mD6TJDjDhg5/5+2RFKmykHG1pALK1ii1tGfX8JIa/NrQISOGL/1peYB/wOm/Trm6tddSGtpRpyghH2z4A0eNK5IQAr5cpeFg3PnLVvoHBSz4YVFw78Bgf79Zs+cWFtEfvMHRAXU86uc4eXUZMvyt69E3QkIHbt2yxdLS6qcVaxxsbSZNmd43tO/CpfP6v/ragsXzBTCN8NREf0N4eg7juLt+/fqpU6eGhb0UGXnuKZYgPSU5KycvICjI1ESalZmVlp7Rs1cvSwt6KBkfH1dQVBxM3zKBPyvKy27fjSVIqpevr42NFVwBv6W4pM7f39dM569XVlXdirotFPBBHxmZWTn5BcG9A0QwEtAtUImKjlKrwE0i3T3cPNw94WJeXm5S0v1OnTq2b+8Ef2akw8Oz/fz9LHQD2dLSktsxsTiH8u/lZ2Fp2aiU7Oz05ORUn2492jnYMxfBxEbdvFlVXdmlSxe1hsjOyekTHCQUCuk6MxIGD3pDSVifPXPAy925mWYvR/794chRn06bPW7CuFvRNy0tZX5+gfSQVJcSY+JziwqsrS3c3T2jo2BY3M3OziY+Lqa4pMI/IMDcjMaEFk1ed/36DQ5J+fv55RUWVFbVgdQEoYm6eR1eW4F+PcGQx9+NKaqsCukTLKJnbGg/8MbNm/L6WpyDuXh6u7s6g3GqLC+Lvn3Xxd3T082l2UpCeX39zagopUrTzaeLo6Mj3f1qaqJv3VFrFCam8IggerjVYmLD5D3IyMzfh4b1e8r8vdFDcfjw72Zm5iNGjYFByKPCXog8YyPlz5+3gA0QscvPaXTWWzQHxpcBiH7mzHmpVDpqxOuNVrypmDCg4Jmbw/SI8cn+qERs83PCIiMjn3XtjXHwAHhfUlICToWNjc1jPQGYpwdvyoxOD30iMA7xm0nBLntvlCpspVDQ2+G7EjjET3J/YQzg5NSeDaQHxBDvW0kblM2oEEC8Nyp1ImFaiQDifSuBQtmMCgHEe71TJyydP3v2TFERSzclvhh9IN6/GJyf4SkrVi19Zcib5yMvseST4jNA899lZQvvmZl7eiW43iecXrVrh3HFet9SA24gW3hvAHxvYBGsn4QFn7Auy4BppfdN586fP1/vG/mYBuYnJ8cdPSEykUqsrFpeY8nhREVFwbouN2fXDz/68EnfrcCv2PXrz6ePnqiqLP/r9J/HDx6qKCnv2LkzLCdkWhBzN2bT1k1/nTp5/cpNCytLmA6Hi7C1b9myH4Ui6fXrN3//Y0/nLp2vXbmyf1+4i6vrocOH9u7dlZeX37WrT2pa+vrVq69evtzB1U3WsHckJeXeuvXrYfnu3bt3XT08mJU/p/88Gncne9hbg7vAkkkU5aqN2Gmgi1KOLl9x6u1xF8Z8mn7woLqmpkUp1q6n1+f0D21hfc57Q4Z6c+27Wrv37NGtq5ObLWa9aOV6Zovn3l92tbf3bOfmHBwS6GLjYGttu/uPcLh+4+plmZjXtXuQQGqHY3hU9M15M781FUp6+PUNDA50dbEUcvGBQ97u5NunX4CfFQ/v2rN3WmY2FNy9c5uHm3Of4OD+wX1lUmm/19+oqKqC61M+HWvKdd+//zgb1sm0qLg2ymCoL9NuYaEmHRw7KNTy8GP3l6+WZ6S3bBeeujpHVVd7cecu05wS2OvvH9bnzLkLv+zfI7Iz23fgMEQ7KiwsWPnjT1a27S6cibx66Ub4kf32JrKVazfV1tWJhQIbiWlBQeHc72fArlZv704SgYBLYj7dfS9GXjp44LC9hcntW/GLf5gTeTN67PjxCXch0EEStFal1mzf8fOVq1fPXr382tA3rty4cysmHq5j9GYTWO3fskAox3MjYKi8dwnw7zXna3VoICE2NUnJS5y/rPBQOFFT9SQgmO2dELrlsRmUdTUxGzeoIiOllUVmlqJPvplsaWnRzbe7k5edvK6W3rSfGFOQlzdg0Mseri5QQ0Dv3r6+3TOys0orK8HGw66KEcNem/nNl2FhYaYmprBTS8LnvDvmA9h45eLqZS4V+3TuOHDgK1DQq4sHH+PDdm8wY+9/MCY3N2/oG28MHzgo9d49KVegrKfD4tE7sGEjngGNSJ6bff+7gobKe0BMZG7WccpEuwljVLAZTq4uCz+evHpdfXQ0bDJ9HJ4Mjx4TDFlVXJyyYZs4NlHCJzRSTr2AB5tbIatQyBMJeJSG3kRHaWCHhVoqFjXWLOBx1XBPo4FNcTWKerGppNEXx2B7KKlWKOlmwDowjKPmC2D3kG5rHcQq5MImDAFknv7117NnzJKamrh17mRiYoKpYLaJzgOhBhQ87EHwgf8dM4z7yQbMe0Yx9sEBHeZNVw0IkUgsRHGZseu339u8WV3GhKT7JwHreBiH/4jzkHvjxv0flstup8AG1o6vD1G5uRTRW57p3TrAXp6SgIkV8DqsHZxgW+2Va9Gw4w5u5ecXJCTfg8ABdlZWKrVSK6DDCjz0MAw8HQ19RdfdYIM07K+l/4JKtTwc45bWlp+/eManS7c/9uxdsWaNV8euJN1ddZv36A1KsEMKxStvw65n8LwHbESW5l4Tx9l/91Wdt6eFhsCuR99ZuKjk6uWmrgKJ05Hp1A1b+hlEc65dyt/6q2lRTZVEYvfeu9Zvjq4i+RQp19K0g8TjaNXy6mrYpeHu0Tls0MtXLh0dP37cTytXvffxpJtp2ZPHfGRhbq4iyXKFmqOh+wOTNBRfw+HzMHonHs4VKEhMra3lc3X2niuEyrUatczEtEMHt4Q7cUuXLIUgbRGnzhFcJfQOyEO/GNQ5HPKfCttQ/2yt2hh4z+hO6u3mM3e6ePiQWqm5bXF92pZdsb/sVDYE3eVpOAIeuNb0djtIWrUm/+Llys07LauV9R0cuiyaYfXaYBhLunbsCrHNzEW6YB4Y5eTl1tO/B3gyUhOTdZu3zpz1HYTyOxwRAeGZfv1ly2effkL3OpHEr4efUzt6cyCTrGxtfXp0d7KmZznB3Hfs7OvTxVuo268ns7Dy69UNNiLyMcG61RuD+vU9fCQCopzOmP55z14+prrdep5u3rB30cLcjK2cfBFyG+G+k/qU1ORf/sBy84WkSm4jsxjY32PIkF+2bv9iyuSAl186e+aMRqGM2/qL+PpdU5Ko7eDoPX0yt50DAzYzZUnHKKCtLnxBoqdWeNx/ojSC7YdbXIia0DCpD/mhlO7Cg62odNgXkmQqYe7SRXQbVZlb8EGg8ZsADACY6ORQM+SB60yc/qZ5XgQRWPYMI+Q9bWXlipwDETWXL1tUV1cJ+ZIevjdLi9Ys/9E9LGzPyZNpW7ZjN2JwnhDr3NH54//jtnuwI5tlqme1uMbJ+wfGOyM95+jJmpt3zSmsHCevJcdSFtIRQ4ZrbsQoBHzBsMHuw4dB8C5W65+twhsz73WOPFFzLTrj9wNOVVVijqaODgTFK+EJLIa96jZquG4IiRIbETB23ut0qi4qzfr5V5uERAj9VO7iLBk6xCHQj43aRjI3IMAK3oOwR7dtzjx0EMKZmXp4CX186ghSTuAUveaR5FFaHsXj099yyXoOBbH+wPWByGFvvvWGq4sroopRIsAW3m9fu2bzN9MJgaiKgCjWeLlcoYU99fB9ioIpc13sVZiRxIW6BQIYhG6FUJhjPvxg65atLR4FZ5S0MHqh2ML7TevWLv72OzMHJ3efznScejhnhjkQBj5uwSxjQ4LZQwjil5iYqFQqIa7G7du327dvb/QkYKGAbOH9xnUbvv5qar+X+h/980Tj3Plj9Q3T7UuWLIETOSGOUkxMjLNz8ziSLGSJ8YlsPN9rn64b8N5hnaOGIiFqEqy0eUoSiUTvv/8+uDcNX6+MT+lIIvbEjcI4BEYRuqjtLSY4sAQ+ozI7HlrMjDIYIgJssfe6Y8Tgv1ZN2DPrC+glxK3Lb4iKZ3mb2cJ7PqyxoSie7rDBFhO4OuDnQOhgcIdazIwyGCICD41r79y5c/DgQfpUFl0yZGvXcJKVLnoIROaIi4v98+QpV1eXt98ezZjzJ/kwIH5VVdXhw7C9UPnOO+/IZDLdrA9dkSEDQpMT2g+zWMzcFfyAAQy803x9fUeNGmXooj1z32u6b3fv3r0weScWix8bH/2Zq9aDArDLCUIuSMRimbm5iQmsJjahT2XjwSlULRh+iYReiswMf/VAjv+4CYx+4bVGh8MfNarp2chttI9b36p9yN6Hh4ePGzfO1NQ0MDAQLAGzILbxpLH/GPu2rI6x6EBuZvYGRCgsLIyPj4fQ7kFBQWDIIQOs+31KE6AglIKykA1owZjJtmzyC6qbkQJMG8gFxyzDQbPDhw//7bffWjQEL6h9L+wxTTsi8B707eHhoW+989+3Z/PmzaDa/v37o+AcjWBu3LgRTP7o0aNZaO+bv+4ZAw+fbF5Yx3sxDzJWuf4Nesx7z2h82meCojnvwfdlLOIz1aL/mZmzi9Fim6aaAkWrdUn/1feft7A57xnP+D9/jJ5UaMSiPQfCzJQdOzFp1Xz2c2CKiiAE9BkBxHt91g5qW1shgHjfVsiievUZAcR7fdYOaltbIYB431bIonr1GQHEe33WDmpbWyGAeN9WyKJ69RkBxHt91g5qW1shgHjfVsiievUZAcR7fdYOaltbIYB431bIonr1GQHEe33WDmpbWyGAeN9WyKJ69RkBxHt91g5qW1shgHjfVsiievUZAcR7fdYOaltbIYB431bIonr1GQHEe33WDmpbWyGAeN9WyKJ69RkBxHt91g5qW1shgHjfVsiievUZAcR7fdYOaltbIYB431bIonr1GQF28d44YlzqM58MpW1s4T3DeEOMcWsoTDKsdrKF90xUMBw3hpjGhsUw/WwtW3hPH+SF8blcwWPVoFXKCZVSPzWEWtUWCBgP7yuyc27tPyIvKHosTBTG5VBiDkmfd9AsKUtLL/y06sLa9er6+raAGNWphwgYD++vHz2ZfehU1trtivSMR4EWaHE+R4uRdFTkpqm+oip5zVbn+CwqrYCok+uhhlCT2gIB4+F9p6BAG7FAlpaR8sOy4mMnm4GFcwguR07yHuJ9fWl55oqNTslpKiHf953hYlubtoAY1amHCBgP7938fb0mjalobytTavL+OFB86LC2trYRcS1Oajkctfaf82vrqqoS12+0T04ukwrajXvH6uUQOOcTJZYgYDy8B4XZB/q7z51Z2sVTpibK9h1LXLWJLCtnFEnwuFo+xsN5zJ9wokvypi12KfeKTXHrMaMsw0JZom8kJoOAUfEe5BFbynymTOS88jIukNol3MtYuUp5OxquYzgXTjtRUgpG7IIjx+wS7ldSlMbXx6r/gFae54xIYzQIGBvvQTEiSwv3iR+ZvD+8SEiI09Ji12+uvHrDTKFyVmgscfqEj7SjR8tPnFSSBL9Xr25jx6OPuEbD5tYLYoS8Z4Rv/2p/q6/GVrR3slMQeT//Zpea2YfL86itz4o4Ubv/hECr1fh4dZrwCW4uaz1YKKfRIGC0vKep3+tl92+mF7s4imurO1dWvx/cJ5gg5EcP8dUqslPnjhMm4LqzyFFiIQLGzHtQp8TBoftXn+MDQhU45xUHl5Fu3ib1NfyenTp98RnX2pqF+kYiMwgYOe9pd9/ewe2T8RW9ut/nEBRXUM8T2AwaiMvMEQPYjIDx817Xu/E8Pn/XneizfHG2gytliSw9mznPDnvPaLhCq76SlhKZlddv+rdWLs5sVzvr5WeHvYcvtXwsVcxJF5FCezPWKx0BwAL/nlEySXFKuZwivgrpHCHAinEto2YBwcflUkz5mHXIiAcsRIAtfg7BoShSzf1nWRoLdY1E/gcBtvCexMDT0YC/g5SPEGCRn4OUjRBoigBb7D3SOkIA8R5xgO0IIHvPdgawU37Ee3bqne1SI96znQHslB/xnp16Z7vUiPdsZwA75Ue8Z6fe2S414j3bGcBO+dnC+4Z4yGyRl51sbr3UbOEBEyxEoVDk5ubm5eXBvzkPJ7jCXGR+FBQUtB5ElNPgEGAL70ExAoEgLS2tT58+YWFhAbrk35CY30FBQcHBwYGBgSEhIb179960aRPzlkDJ+BBgEe9BeWq1WqvV1tTUKJVKsP3yhqRSqeDP+vp6jUZDEAT8qKioSEhIMD59I4kYBFjEeyC9h4fHoUOHjh07dvLkyVOnTv3dkODPv3QpIiIC7r7++uuQGcdZBA7b+gO7VGtqagrOzGMTeDjg28At8HNsbGzAKWIbFVglL7t430rVghcE3g6y962EyxCzId4/Rms9e/a0sLAA9qPzDw2R061pM1t4z8xjtnJ+BqZ3IPPx48eNfjazlYC0hkmGlecxvDfi93sr1QyDWrD0MNlj3PYebAEA0kpMDIvWLbb2Mbw3YmW3MtQ9ZGtMLSJo0BkYMQ1ahOdr/OPtvUgker7q9LYUl0tHzmH+bTGB+JATpnT4fH6LmQ03A49Hn3rETt7Tb7pGze3fv//jjz+2trZevXo1QxG4a4i4NArV2HiYqd+6dauXl9fixYsZR+4pohUWFs6ePRu+cK1cuRLmNJnaDBGHR/tk4zolEAcGMLt37x42bNjevXuN2Ll9rGF6iPf79u0bP348TOEBKPBv4w+DU3ljg+GHVCoFzw30DV472G/mFnyghYuQmokG2SAPMF4ikcBvJg/jBENiADFcAw+NB3PG/MugAXQfPHgw2DtW8x4+Vc6fPx+0zphDxjYYorvfyE5QJyRQM6w7gASui6urKwgIiSF0MxI3+rtCoRDyNDK+KSCGznsQCjCBPgywwO8BAwasWLGC1bwHKwhLUwAChuvMeN+gLRzDURBh27Ztc+bMgQlK6NtGINF/2PfA6puYmPyHFRpEVQ/5OQbR4udr5IYNG6ZOndqvX79z584h3j8fhsZUii3frRiPxRB9NmNim/7Iwhbe6w/iqCX6gADivT5oAbXhRSOAeP+iEUfP0wcEEO/1QQuoDS8aAcT7F404ep4+IIB4rw9aQG140Qgg3r9oxNHz9AEBxHt90AJqw4tGAPH+RSOOnqcPCCDe64MWUBteNAIs4z3FMnlfNJ0M5nls4QEsOOZzcIpD7zBCCSHAFt5jFM6ntxmqkcoRAoAAW3gPckIANIluX0HzhIK/sq8rsIX3FIeScwiCar5LsC7x3qUVq3JjY9inelZLzBre4xy1iKoXCptqWxF/N2nLRtXdhJTT50iC3l2JEksQMBLeUwSZHhWdfuOmVi5/guZILgfnN7H3dfFxWRs32RaVmVtZ9Rg5HOeiIS9LOE+LaSS8L8/Ljd6ys2zTzphZCzIPHFSWlMB++IfUSGISXMRruFifmJC0ZYegVF5p4+A+daK1myuLdI5ENRreS8zNbbxd1BylLCcf3/fn/VlL4pavq7odo66rY7SMQ2QUNcET82CTuTIhKXvDDvOSyip7W6cvJ1t5eiAmsA0BLgQOMQKZ+SKRS2Agz7k9Zm1TU1LOr62xyC+U37yVFhWlJdXmVhbJsXExJ090dHEe7OuXuW67pKIm31bm8eVkGy9PIxAfifCsCBhhPAVldk7hmXOae6nc4lKhRlWLkQKndmlqVeSxY2Ym4hEhg22KqnNtTR2nT7b2RKR/VsIYSX4j5P0DzdTUVNy+VXLlujAzj6iphThpIi6fUMmtCLzC1lI6Y4qZl7eR6BCJ8ewIGC/vGSwIQpWelX/5mvb+fWlOvqOKU6FUVPfxcZ01Exz9Z4cLlTASBIxkPueJ2uByhV7ubuM+SG5n/Vt89LHqylhHG6qjNyK9kfD3ecUwdt434FKEY7sTEyJqS/2XL3Ab8dbzwoXKGQkCbOG9gsNJM5VkyHhSmQwZeyMh778Qgy28F1AYoZETDy1T+BewoaIGjgBbeA+B7jkqDlfRPPC3gasPNf85EWAP7zkkcF7LFnmfkw6sKcYWHjBzlhARmTWaRYI+DQG28B6xACHQFAG28J6JfM+202wQ15+EAFt4z5xxAoc6ISogBGgLyBIUGs+vZIm8SMynI8AW3jOWXqPRIEIgBFhk7x0cHMzNzT3RwmPEeh0Cxr4es0HNcBhtYmKis7OzDNYpoMR6BNjCe9YrGgHwEAJs8e+R2hECbJy/R1pHCCDeIw6wHQHk57CdAeyU//8B/2YkSptehecAAAAASUVORK5CYII=)
(c)As angle of incident is 90 , there is also no refraction.
Question 3.__________ is used as reflectors in torchlight
A. concave mirror
B. convex mirror
C. plane mirror
Answer:Because when the bulb of torchlight is placed at focus of concave mirror, it allows the light to spread out to infinity (longer distances).
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)
(b)this is incorrect because
convex mirror always forms virtual images so we can not put light bulb on virtual position so we can’t use convex mirror in torch light.
(c)this is incorrect because –
plane mirror can not spread light falling on it so we not use it in torch light.
Question 4.We can create enlarged, virtual images with
A. concave mirror
B. convex mirror
C. plane mirror
Answer: A virtual image formed by a concave mirror is always enlarged.
When an object is placed between a concave mirror and its focal point, the image is virtual.
(b) This is incorrect because-
the convex mirror forms virtual images, but it is not enlarged.
(b) This is incorrect because-
Plane mirror always forms equal sized images.
Question 5.When the reflecting surface is curved outwards the mirror formed will be
A. concave mirror
B. convex mirror
C. plane mirror
Answer:(b)This incorrect because the concave mirror is curved inwards.
(c) this is incorrect because the plane mirror is plane.
Question 6.The focal length of a concave mirror is 5cm. Its radius of curvature is
A. 5 cm
B. 10 cm
C. 2.5 cm
Answer:Focal length of a mirror is given by the following formula.
f=R/2
Where R=radius of the mirror
So R=5× 2 = b)10 cm
(a)&(c) not have the value equal to 10cm so both are incorrect .
Question 7.When a beam of white light passes through a prism it gets
A. Reflected
B. deviated and dispersed
C. only deviated
Answer:When the light ray passes through prism its is deviated and dispersed due to refraction of light.
Option (a)&(c) are incorrect
Only (b) is correct
Question 8.The speed of light is maximum in
A. vacuum
B. glass
C. diamond
Answer:vacuum , the refractive index in vacuum is 1.
(b)&(c) is incorrect because the refractive index in both cases is higher then 1.
Question 9.A real and enlarged image can be obtained by using a
A. convex mirror
B. plane mirror
C. concave mirror
Answer:(b)This is incorrect because the plane mirror always form equal sized image .
(a) This is incorrect because convex mirror always forms virtual images .
Question 10.Which of the following statements about total internal reflection is true?
A. angle of incidence should be greater than critical angle
B. light must travel from a medium of higher refractive index to a medium of lower refractive index
C. both (a) and (b)
Answer:Because we know that Two important conditions for total internal reflection are:
• Angle of incidence (i) should be greater than critical angle (ic).
• Ray should travel from denser medium to rarer medium.
The field of view * is maximum for ______________
(* FOV is the extent of the observable area that is seen at any given instant )
A. plane mirror
B. concave mirror
C. convex mirror
Answer:
The field of view is maximum for b)convex mirror because it always forms virtual ,erect .small sized image of object. That is the reason we use convex mirror in our vehicles.
(A) This is incorrect because –
plane mirror always form equal size image of object ,this is the reason we not prefer plan mirror for large field of view.
(B) This is incorrect because-
Concave mirror has small field of view then convex mirror .
Question 2.
When a ray of light passes from one medium to another medium, refraction takes place when angle of incidence is
A. 0°
B. 45°
C. 90°
Answer:
45 , if ray is travelling from lighter to denser medium then after refraction it bend towards the normal between the surfaces.
(a) If angle of incident is 0. Then the ray will go on its own path it will not show any deflection . so there is no refraction.
SEE the figure below to get an idea how ray will travel when angle of incident is zero.
So this option is incorrect
(c)As angle of incident is 90 , there is also no refraction.
Question 3.
__________ is used as reflectors in torchlight
A. concave mirror
B. convex mirror
C. plane mirror
Answer:
Because when the bulb of torchlight is placed at focus of concave mirror, it allows the light to spread out to infinity (longer distances).
(b)this is incorrect because
convex mirror always forms virtual images so we can not put light bulb on virtual position so we can’t use convex mirror in torch light.
(c)this is incorrect because –
plane mirror can not spread light falling on it so we not use it in torch light.
Question 4.
We can create enlarged, virtual images with
A. concave mirror
B. convex mirror
C. plane mirror
Answer:
A virtual image formed by a concave mirror is always enlarged.
When an object is placed between a concave mirror and its focal point, the image is virtual.
(b) This is incorrect because-
the convex mirror forms virtual images, but it is not enlarged.
(b) This is incorrect because-
Plane mirror always forms equal sized images.
Question 5.
When the reflecting surface is curved outwards the mirror formed will be
A. concave mirror
B. convex mirror
C. plane mirror
Answer:
(b)This incorrect because the concave mirror is curved inwards.
(c) this is incorrect because the plane mirror is plane.
Question 6.
The focal length of a concave mirror is 5cm. Its radius of curvature is
A. 5 cm
B. 10 cm
C. 2.5 cm
Answer:
Focal length of a mirror is given by the following formula.
f=R/2
Where R=radius of the mirror
So R=5× 2 = b)10 cm
(a)&(c) not have the value equal to 10cm so both are incorrect .
Question 7.
When a beam of white light passes through a prism it gets
A. Reflected
B. deviated and dispersed
C. only deviated
Answer:
When the light ray passes through prism its is deviated and dispersed due to refraction of light.
Option (a)&(c) are incorrect
Only (b) is correct
Question 8.
The speed of light is maximum in
A. vacuum
B. glass
C. diamond
Answer:
vacuum , the refractive index in vacuum is 1.
(b)&(c) is incorrect because the refractive index in both cases is higher then 1.
Question 9.
A real and enlarged image can be obtained by using a
A. convex mirror
B. plane mirror
C. concave mirror
Answer:
(b)This is incorrect because the plane mirror always form equal sized image .
(a) This is incorrect because convex mirror always forms virtual images .
Question 10.
Which of the following statements about total internal reflection is true?
A. angle of incidence should be greater than critical angle
B. light must travel from a medium of higher refractive index to a medium of lower refractive index
C. both (a) and (b)
Answer:
Because we know that Two important conditions for total internal reflection are:
• Angle of incidence (i) should be greater than critical angle (ic).
• Ray should travel from denser medium to rarer medium.
Cross Word Puzzle
Question 1.Cross word puzzle
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CKgLIohd2LEkhPwFEA6WVmYgLrRsBRAI4CqPNEgWYBBv+u/eDjOQpg3RSoVyFAYO0CPrNYu5EVBAj0CygLjwEBAoUElEUhJosIEFAWngECBAoJKItCTBYRIKAsPAMECBQSUBaFmCwiQEBZeAYIECgkoCwKMVlEgICy8AwQIFBIQFkUYrKIAAFl4RkgQKCQgLIoxGQRAQLKwjNAgEAhAWVRiMkiAgSUhWeAAIFCAsqiEJNFBAgoC88AAQKFBJRFISaLCBBQFp4BAgQKCSiLQkwWESDg3BDPAAECAwv837kh7ygLZgQIEFiTgLchng0CBAoJKItCTBYRIKAsPAMECBQS+Bcz1KPZk6kchwAAAABJRU5ErkJggg==)
Across
2. Optical illusion due to refraction
4. A type of mirror that diverge the light rays
6. The nature of image formed when object is near the pole of concave mirror
7. Electromagnetic radiation visible to us
Down
1. The light ray sent back from a surface into the same medium
3. When magnification is negative, the nature of the image is ________
5. For concave mirror u and f are always __________
Answer:![](data:image/png;base64,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)
Cross word puzzle
Across
2. Optical illusion due to refraction
4. A type of mirror that diverge the light rays
6. The nature of image formed when object is near the pole of concave mirror
7. Electromagnetic radiation visible to us
Down
1. The light ray sent back from a surface into the same medium
3. When magnification is negative, the nature of the image is ________
5. For concave mirror u and f are always __________
Answer:
Hots
Question 1.Light ray emerges from water into air. Draw a ray diagram indicating the change in its path in water.
Answer:![](data:image/jpeg;base64,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There are three cases for a ray going from water to air ,these are
Clearly shown in the figure -
1) Normal refraction
2) Critical angle
3) Total internal reflection
Question 2.When a ray of light passes from air into glass, is the angle of refraction greater than or less than the angle of incidence?
Answer:![](data:image/jpeg;base64,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uNdh1G4aNhbIy26heV3dSTU8k11On61h5PWOyfTd6Nf5PyNGJWSFFZizAAFj3NDwxS48yNHx03KDT6K3PJbuQ/ZLb/AJ94v++BR9ktv+feL/vgVNRQBD9ktv8An3i/74FH2S2/594v++BU1FAEP2S2/wCfeL/vgUfZLb/n3i/74FTUUAQ/ZLb/AJ94v++BR9ktv+feL/vgVNRQBD9ktv8An3i/74FH2S2/594v++BU1FAEP2S2/wCfeL/vgUfZLb/n3i/74FTUUAQ/ZLb/AJ94v++BR9ktv+feL/vgVNRQBGkEMZzHEiH1VQKkoooAKKKKACiiigAooooAKKKKACiiigAooooA/9k=)
As clearly shown in the above when the ray of light from air is going into glass it will deviated from its path .as we known glass is denser then air, so according to the laws of refraction when light is travels from less dense medium to more dense medium it will bend towards the normal , that is the reason the angle of refraction become less then the angle of incident .
So , angle of refraction (r) < angle of incident(i)
Question 3.What do you conclude about the speed of light in a diamond if you are told that the refractive index of diamond is 2.41?
Answer:As we all know that
![](data:image/png;base64,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)
We also know that
Speed of light in a vacuum is = 3 × 108 ms-1
So,
![](data:image/png;base64,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)
Speed of light in diamond =1.244×108m/s
Light ray emerges from water into air. Draw a ray diagram indicating the change in its path in water.
Answer:
There are three cases for a ray going from water to air ,these are
Clearly shown in the figure -
1) Normal refraction
2) Critical angle
3) Total internal reflection
Question 2.
When a ray of light passes from air into glass, is the angle of refraction greater than or less than the angle of incidence?
Answer:
As clearly shown in the above when the ray of light from air is going into glass it will deviated from its path .as we known glass is denser then air, so according to the laws of refraction when light is travels from less dense medium to more dense medium it will bend towards the normal , that is the reason the angle of refraction become less then the angle of incident .
So , angle of refraction (r) < angle of incident(i)
Question 3.
What do you conclude about the speed of light in a diamond if you are told that the refractive index of diamond is 2.41?
Answer:
As we all know that
We also know that
Speed of light in a vacuum is = 3 × 108 ms-1
So,
Speed of light in diamond =1.244×108m/s
True Or False
Question 1.The angle of deviation depends on the refractive index of the glass
Answer:TRUE
Question 2.If a ray of light passes obliquely from one medium to another, it does not suffer any deviation.
Answer:FALSE
It will show deviation due to the difference between the REFRACTIVE INDEX of two medium.
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Question 3.If the object is at infinity in front of a convex mirror the image is formed at infinity.
Answer:false
The image will form at principal focus , the image will be virtual and point sized.
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)
Question 4.An object is placed at distance of 3 cm from a plane mirror. The distance of the object and image is 3 cm.
Answer:FALSE
THE distance between the plane mirror and object will be same as the distance between plane mirror and image . The distance between object and image will be 6 cm.
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)
Question 5.The convex mirror always produces a virtual, diminished and erect image of the object.
Answer:TRUE
Question 6.The distance from centre of curvature of the mirror to the pole is called the focal length of the mirror.
Answer:false , its called the radius of curvature
Question 7.When an object is at the centre of curvature of concave mirror the image formed will be virtual and erect.
Answer:false
The image is at the centre of curvature itself. It is i) Real, ii) inverted and
iii) same size as the object.
![](data:image/png;base64,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)
Question 8.Light is one of the slowest travelling energy with a speed of 3 × 10–8 ms-1
Answer:false ,speed of light is fasted it is 3 × 108 ms-1
Question 9.The angle of incidence at which the angle of refraction is 0° is called the critical angle.
Answer:false , Critical angle has angle of incidence 90°.
Question 10.The reason for brilliance of diamonds is mainly due to total internal reflection of light.
Answer:True
The angle of deviation depends on the refractive index of the glass
Answer:
TRUE
Question 2.
If a ray of light passes obliquely from one medium to another, it does not suffer any deviation.
Answer:
FALSE
It will show deviation due to the difference between the REFRACTIVE INDEX of two medium.
Question 3.
If the object is at infinity in front of a convex mirror the image is formed at infinity.
Answer:
false
The image will form at principal focus , the image will be virtual and point sized.
Question 4.
An object is placed at distance of 3 cm from a plane mirror. The distance of the object and image is 3 cm.
Answer:
FALSE
THE distance between the plane mirror and object will be same as the distance between plane mirror and image . The distance between object and image will be 6 cm.
Question 5.
The convex mirror always produces a virtual, diminished and erect image of the object.
Answer:
TRUE
Question 6.
The distance from centre of curvature of the mirror to the pole is called the focal length of the mirror.
Answer:
false , its called the radius of curvature
Question 7.
When an object is at the centre of curvature of concave mirror the image formed will be virtual and erect.
Answer:
false
The image is at the centre of curvature itself. It is i) Real, ii) inverted and
iii) same size as the object.
Question 8.
Light is one of the slowest travelling energy with a speed of 3 × 10–8 ms-1
Answer:
false ,speed of light is fasted it is 3 × 108 ms-1
Question 9.
The angle of incidence at which the angle of refraction is 0° is called the critical angle.
Answer:
false , Critical angle has angle of incidence 90°.
Question 10.
The reason for brilliance of diamonds is mainly due to total internal reflection of light.
Answer:
True
Fill In The Blanks
Question 1.In going from a rarer to denser medium, the ray of light bends _______
Answer:In going from a rarer to denser medium, the ray of light bends _TOWARDS THE NORMAL
Question 2.The ratio of sine of the angle of incidence to the sine of _______ is a constant.
Answer:The ratio of sine of the angle of incidence to the sine of ANGLE OF REFRACTION is a constant.
Question 3.The mirror used in search light is ______.
Answer:The mirror used in search light is CONCAVE.
Question 4.The angle of deviation of light ray in a prism depends on the angle of _____.
Answer:The angle of deviation of light ray in a prism depends on the angle of PRISM.
Question 5.The radius of curvature of a concave mirror whose focal length is 5cm is _____.
Answer:The radius of curvature of a concave mirror whose focal length is 5cm is 10cm.
Question 6.A spherical mirror whose reflecting surface is curved outwards is called ________mirror
Answer:A spherical mirror whose reflecting surface is curved outwards is called CONVEX mirror
Question 7.Large ________ mirrors are used to concentrate sunlight to produce heat in solar furnaces
Answer:Large CONCAVE mirrors are used to concentrate sunlight to produce heat in solar furnaces
Question 8.All distances parallel to the principal axis are measured from the ______ of the mirror
Answer:All distances parallel to the principal axis are measured from the principal axis of the mirror
Question 9.A negative sign in the value of magnification indicates that the image is _________.
Answer:A negative sign in the value of magnification indicates that the image is REAL.
Question 10.Light is refracted or bent while going from one medium to another because its _______ changes.
Answer:Light is refracted or bent while going from one medium to another because its REFRACTIVE INDEX changes.
In going from a rarer to denser medium, the ray of light bends _______
Answer:
In going from a rarer to denser medium, the ray of light bends _TOWARDS THE NORMAL
Question 2.
The ratio of sine of the angle of incidence to the sine of _______ is a constant.
Answer:
The ratio of sine of the angle of incidence to the sine of ANGLE OF REFRACTION is a constant.
Question 3.
The mirror used in search light is ______.
Answer:
The mirror used in search light is CONCAVE.
Question 4.
The angle of deviation of light ray in a prism depends on the angle of _____.
Answer:
The angle of deviation of light ray in a prism depends on the angle of PRISM.
Question 5.
The radius of curvature of a concave mirror whose focal length is 5cm is _____.
Answer:
The radius of curvature of a concave mirror whose focal length is 5cm is 10cm.
Question 6.
A spherical mirror whose reflecting surface is curved outwards is called ________mirror
Answer:
A spherical mirror whose reflecting surface is curved outwards is called CONVEX mirror
Question 7.
Large ________ mirrors are used to concentrate sunlight to produce heat in solar furnaces
Answer:
Large CONCAVE mirrors are used to concentrate sunlight to produce heat in solar furnaces
Question 8.
All distances parallel to the principal axis are measured from the ______ of the mirror
Answer:
All distances parallel to the principal axis are measured from the principal axis of the mirror
Question 9.
A negative sign in the value of magnification indicates that the image is _________.
Answer:
A negative sign in the value of magnification indicates that the image is REAL.
Question 10.
Light is refracted or bent while going from one medium to another because its _______ changes.
Answer:
Light is refracted or bent while going from one medium to another because its REFRACTIVE INDEX changes.
Match The Following
Question 1.Match the following:
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Match the following:
Answer:
Assertion And Reason Type
Question 1.In the following questions, the statement of assertion is followed by a reason. Mark the correct choice as:
Assertion: For observing the traffic at a hairpin bend in mountain paths a plane mirror is preferred over convex mirror and concave mirror.
Reason: A convex mirror has a much larger field of view than a plane mirror or a concave mirror.
A. If both assertion and reason are true and reason is the correct explanation
B. If assertion is true but reason is false.
C. If assertion is false but reason is true.
Answer:C) Assertion is false because –
CONVEX MIRROR IS USED INSTEAD OF PLANE MIRROR
Question 2.In the following questions, the statement of assertion is followed by a reason. Mark the correct choice as:
Assertion: Incident ray is directed towards the centre of curvature of spherical mirror. After reflection it retraces its path.
Reason: Angle of incidence i = Angle of reflection r = 0o.
A. If both assertion and reason are true and reason is the correct explanation
B. If assertion is true but reason is false.
C. If assertion is false but reason is true.
Answer:A)you can clearly see in the figure how ray will travel.
![](data:image/png;base64,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)
In the following questions, the statement of assertion is followed by a reason. Mark the correct choice as:
Assertion: For observing the traffic at a hairpin bend in mountain paths a plane mirror is preferred over convex mirror and concave mirror.
Reason: A convex mirror has a much larger field of view than a plane mirror or a concave mirror.
A. If both assertion and reason are true and reason is the correct explanation
B. If assertion is true but reason is false.
C. If assertion is false but reason is true.
Answer:
C) Assertion is false because –
CONVEX MIRROR IS USED INSTEAD OF PLANE MIRROR
Question 2.
In the following questions, the statement of assertion is followed by a reason. Mark the correct choice as:
Assertion: Incident ray is directed towards the centre of curvature of spherical mirror. After reflection it retraces its path.
Reason: Angle of incidence i = Angle of reflection r = 0o.
A. If both assertion and reason are true and reason is the correct explanation
B. If assertion is true but reason is false.
C. If assertion is false but reason is true.
Answer:
A)you can clearly see in the figure how ray will travel.
Very Short Answer Type
Question 1.Give two examples of transparent medium that are denser than air.
Answer:1) glass 2) water
Question 2.According to cartesion sign convention, which mirror and which lens has negative focal length?
Answer:According to Cartesian sign convention, object distances (u) are always negative as the object is placed to the left of the mirror/lens.
• Focal length (f) is positive for a convex lens and convex mirror.
• Focal length is negative for concave lens and concave mirror.
Image distance (v) can be both positive and negative for convex lens and concave mirror depending on the position of the object.
• Image distance is always negative for a concave lens.
• Image distance is always positive for a convex mirror.
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Question 3.A coin in a glass beaker appears to rise as the beaker is slowly filled with water, why?
Answer:It happens due to the, phenomenon of refraction of light. When the rays of light from the coin, in the denser medium which is water, fall on the interface separating the two media, the rays of light move away from the normal after refraction. The point from which the refracted rays appear to come gives the apparent position of the coin. As the rays appear to come from a point above the coin, therefore, the coin appears some distance above the base of beaker.
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)
Question 4.Name the mirror(s) that can give (i) an erect and enlarged image, (ii) same sized, inverted image?
Answer:(i) Concave mirror gives an erect and enlarged image of an object, when the object is between pole (P) and principal focus of mirror (F).
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(ii) Concave mirror gives same sized and inverted image when object is place on centre of curvature of the mirror.
![](data:image/png;base64,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)
Question 5.Name the spherical mirror(s) that has/have
i) Virtual principal focus
ii) Real principal focus
Answer:1) convex mirror
2) Concave mirror
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Question 6.If an object is placed at the focus of a concave mirror, where is the image formed?
Answer:If an object is placed at the focus of a concave mirror,then a large image appears at infinity . after reflection the rays meet at infinity .
![](data:image/jpeg;base64,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Question 7.Copy this figure in your answer book and show the direction of the light ray after reflection
![](data:image/jpeg;base64,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)
Answer:the ray will become pallarel to the principal axis.
![](data:image/jpeg;base64,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Question 8.Why does a ray of light bend when it travels from one medium to another?
Answer:when a light ray travels from one medium to another, it shows some deviation from its path this phenomenon is called refraction of light.
Question 9.What is the speed of light in a vacuum? Who first measured the speed of light?
Answer:the speed of light in vaccum is 3 × 108 ms-1
It was the Danish astronomer, Olaus Roemer, who, in 1676, first successfully measured the speed of light. His method was based on observations of the eclipses of the moons of Jupiter (by Jupiter)
Question 10.Concave mirrors are used by dentists to examine teeth. Why?
Answer:Concave mirror produces virtual, erect and magnified images when a object is placed in between focus and pole. That’s the reason why dentists use concave mirror to examne teeth.
Give two examples of transparent medium that are denser than air.
Answer:
1) glass 2) water
Question 2.
According to cartesion sign convention, which mirror and which lens has negative focal length?
Answer:
According to Cartesian sign convention, object distances (u) are always negative as the object is placed to the left of the mirror/lens.
• Focal length (f) is positive for a convex lens and convex mirror.
• Focal length is negative for concave lens and concave mirror.
Image distance (v) can be both positive and negative for convex lens and concave mirror depending on the position of the object.
• Image distance is always negative for a concave lens.
• Image distance is always positive for a convex mirror.
Question 3.
A coin in a glass beaker appears to rise as the beaker is slowly filled with water, why?
Answer:
It happens due to the, phenomenon of refraction of light. When the rays of light from the coin, in the denser medium which is water, fall on the interface separating the two media, the rays of light move away from the normal after refraction. The point from which the refracted rays appear to come gives the apparent position of the coin. As the rays appear to come from a point above the coin, therefore, the coin appears some distance above the base of beaker.
Question 4.
Name the mirror(s) that can give (i) an erect and enlarged image, (ii) same sized, inverted image?
Answer:
(i) Concave mirror gives an erect and enlarged image of an object, when the object is between pole (P) and principal focus of mirror (F).
(ii) Concave mirror gives same sized and inverted image when object is place on centre of curvature of the mirror.
Question 5.
Name the spherical mirror(s) that has/have
i) Virtual principal focus
ii) Real principal focus
Answer:
1) convex mirror
2) Concave mirror
Question 6.
If an object is placed at the focus of a concave mirror, where is the image formed?
Answer:
If an object is placed at the focus of a concave mirror,then a large image appears at infinity . after reflection the rays meet at infinity .
Question 7.
Copy this figure in your answer book and show the direction of the light ray after reflection
Answer:
the ray will become pallarel to the principal axis.
Question 8.
Why does a ray of light bend when it travels from one medium to another?
Answer:
when a light ray travels from one medium to another, it shows some deviation from its path this phenomenon is called refraction of light.
Question 9.
What is the speed of light in a vacuum? Who first measured the speed of light?
Answer:
the speed of light in vaccum is 3 × 108 ms-1
It was the Danish astronomer, Olaus Roemer, who, in 1676, first successfully measured the speed of light. His method was based on observations of the eclipses of the moons of Jupiter (by Jupiter)
Question 10.
Concave mirrors are used by dentists to examine teeth. Why?
Answer:
Concave mirror produces virtual, erect and magnified images when a object is placed in between focus and pole. That’s the reason why dentists use concave mirror to examne teeth.
Short Answer Type
Question 1.a) Complete the diagram to show how a concave mirror forms the image of the object.
b) What is the nature of the image?
![](data:image/png;base64,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)
Answer:(a)
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(b) When the object AB is placed between the centre of curvature and principal focus, then the ray AD going parallel to the principal axis and another ray AE passing through the principal focus F intersect each other at point A’ beyond the centre of curvature. Thus the image formed in this case is beyond C, enlarged, real and inverted.
Question 2.Pick out the concave and convex mirrors from the following and tabulate them
Rear-view mirror, Dentist’s mirror, Torch-light mirror, Mirrors in shopping malls, Make-up mirror.
Answer:concave mirror - Dentist’s mirror, Torch-light mirror , Make-up mirror.
Convex mirror - Rear-view mirror , Mirrors in shopping malls
Question 3.State the direction of incident ray which after reflection from a spherical mirror retraces its path. Give reason for your answer.
Answer:A ray of light passing through the centre of curvature of a concave mirror retraces its path (gets reflected along the same path), because as the ray of light passes through centre of curvature of a concave mirror it strikes the mirror along the normal and it incidences on to the mirror at 90 degree. Hence the incident ray coincides with the normal.
Therefore angle of incidence = 0 .As we know according to law of reflection angle of reflection = 0, hence the angle of reflection too become zero degree, thus ray of light retraces its path.
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)
Question 4.What is meant by magnification? Write its expression. What is its sign for the
a) real image
b) virtual image
Answer:Magnification – magnification is defined as how many times bigger or smaller the image of the object formed by the spherical mirror.
It is defined as the ratio of the height of the image to the height of the object.
Let , height of the object = ho
Height of the image =hi
Then the magnification
![](data:image/png;base64,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)
Magnification can also be defined as ratio of object distance(u) and the image distance (v)
![](data:image/png;base64,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)
The sign will be
• negative for real image
• positive for virtual image
Question 5.Write the spherical mirror formula and explain the meaning of each symbol used in it.
Answer:The spherical mirror formula is the relation among the image distance ,object distance and focal length of the mirror .
If The image distance is = v
The object distance is = u
The focal length of mirror =f
Then the mirror formula will be –
![](data:image/png;base64,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)
The sign convention can be used as given in the figure –
![](data:image/jpeg;base64,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We can see following things from the figure –
• Focal length (f) is positive for a convex lens and convex mirror.
• Focal length(f) is negative for concave lens and concave mirror.
• Image distance (v) can be both positive and negative for convex lens and concave mirror depending on the position of the object.
• Image distance(v) is always negative for a concave lens.
• Image distance(v) is always positive for a convex mirror.
• Object distance (u) is negative for convex as well as the concave mirror.
a) Complete the diagram to show how a concave mirror forms the image of the object.
b) What is the nature of the image?
Answer:
(a)
(b) When the object AB is placed between the centre of curvature and principal focus, then the ray AD going parallel to the principal axis and another ray AE passing through the principal focus F intersect each other at point A’ beyond the centre of curvature. Thus the image formed in this case is beyond C, enlarged, real and inverted.
Question 2.
Pick out the concave and convex mirrors from the following and tabulate them
Rear-view mirror, Dentist’s mirror, Torch-light mirror, Mirrors in shopping malls, Make-up mirror.
Answer:
concave mirror - Dentist’s mirror, Torch-light mirror , Make-up mirror.
Convex mirror - Rear-view mirror , Mirrors in shopping malls
Question 3.
State the direction of incident ray which after reflection from a spherical mirror retraces its path. Give reason for your answer.
Answer:
A ray of light passing through the centre of curvature of a concave mirror retraces its path (gets reflected along the same path), because as the ray of light passes through centre of curvature of a concave mirror it strikes the mirror along the normal and it incidences on to the mirror at 90 degree. Hence the incident ray coincides with the normal.
Therefore angle of incidence = 0 .As we know according to law of reflection angle of reflection = 0, hence the angle of reflection too become zero degree, thus ray of light retraces its path.
Question 4.
What is meant by magnification? Write its expression. What is its sign for the
a) real image
b) virtual image
Answer:
Magnification – magnification is defined as how many times bigger or smaller the image of the object formed by the spherical mirror.
It is defined as the ratio of the height of the image to the height of the object.
Let , height of the object = ho
Height of the image =hi
Then the magnification
Magnification can also be defined as ratio of object distance(u) and the image distance (v)
The sign will be
• negative for real image
• positive for virtual image
Question 5.
Write the spherical mirror formula and explain the meaning of each symbol used in it.
Answer:
The spherical mirror formula is the relation among the image distance ,object distance and focal length of the mirror .
If The image distance is = v
The object distance is = u
The focal length of mirror =f
Then the mirror formula will be –
The sign convention can be used as given in the figure –
We can see following things from the figure –
• Focal length (f) is positive for a convex lens and convex mirror.
• Focal length(f) is negative for concave lens and concave mirror.
• Image distance (v) can be both positive and negative for convex lens and concave mirror depending on the position of the object.
• Image distance(v) is always negative for a concave lens.
• Image distance(v) is always positive for a convex mirror.
• Object distance (u) is negative for convex as well as the concave mirror.
Long Answer Type
Question 1.a) Draw ray diagrams to show how the image is formed, using a concave mirror when the position of object is i) at C ii) between C and F iii) between F and P of the mirror.
b) Mention in the diagram the position and nature of image in each case.
Answer:(a)
![](data:image/png;base64,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)
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(b)
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)
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Question 2.Explain with diagrams how refraction of incident light takes place from
a) rarer to denser medium
b) denser to rarer medium
c) normal to the surface separating the two media
Answer:Refraction of light take place when light travels between two medium. As the speed of light is different in different medium that is the major factor for refraction of light .
(a)
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As you can see in this figure the light is travelling from less dense medium to more dense medium ,its path is deviated ,this is because of refraction taking place between these two medium.
Whenever the light travels from less dense medium to more dense medium it will bend towards the normal to the surface.
![](data:image/png;base64,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)
As you can see in the diagram incident ray bends towards the normal axis .
In this case always incident angle I > r (angle of refraction)
(b)
when the ray of light travels from more dense medium to less dense medium it move away from the normal axis. As you can see in the following figure
![](data:image/jpeg;base64,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)
Consider the figure above when light ray passes through the interface of two medium it will deviated from its path . in this case always
Angle of incident I < r (angle of refraction)
(c) when the light ray incident normally to the interface of two medium then it travels in same path , no deviation will be there. Because the angle of incident will be 0.
You can see this in following figure –
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCADRASQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooASjNLXnctxOPjxb24mk8n+yz+73nb37dKAPQ6KDWRp+vi/1/UdJ+wXUJsQv+kSJiOXP9096ANiikzQTxQAUZrI0rXv7U1TUrEWF1b/ANnyCMyzJhZs55U9xxVfWfEw0jxHo2jm1Mp1V3US78eXtGenegDoKKQUZoAWiqOqavY6LbC51G5W3hZxGHYHBY9BxVzNADqKTNGaAFopM0ZoAWikzRmgBaKTNFABS1xk/j9YIPE0v9nkjw+6qR5n+uz+HFdRpl7/AGjpdpfBNn2mFJdmc7dwBx+tAFqlrA8XeJx4W0+3uzam58+6S32h9uN3eta8vYNPs5by7lEUECF5JD0VR1NAFmiq9le2+oWcN5ayiWCdA8br0ZT0NT5oAWikooAWiiigAooooAKKKKACiiigAooooAK83m/5OAt/+wWf616RXm83/JwFv/2Cz/WgD0c15Jqt/eLqfxGUXUwEFpGYgJDiM7f4fT8K9bNZ0nh/SJZL2STT4GfUFC3RK/64DoG9aQHmlvFcaPN4G1aHVL+W51aVIrzzrgskiso429BjtVnQDBrura5qmua7dWN7Y6n5MEa3RjWGMN8o2dCG6dOa9DbQtLeOyRrGErp5DWo28QkdCvpUU/hjQ7nVF1SfSrSS+UgidogWyOh+tMDzXUNa1WwtfiHcWlzN5sF1EkR3k+SrEhivpxTDYaZp/jrwUunatNemVTJIktyZcEp9/npu9PavVI9E0yJ7x0sYQ1+c3XyZ87t83rVWz8I+HtPkhks9HtIHgkMkbJHgqxGM5+lAHkUMviTxB/ampR3Cx6hDeuEuJdX8j7IFPC+T0xj16100llPr3xQn0vUNQu47c6RFLNFa3BRHfjuO2TnjrxXbXng/w5qF8b680WzmuSQTK8QySO59auppOnx6k2pJaRreNGIjOB8xQdF+lAHiupB9S+FkE2oXU876frJtY5HlOfL3fxeuPU9K9jsrS10/QPs1jIzwRxNsdpjITwT94nmhfDmjLps2mjTbf7FO5eSAplWYnJJHrVmy0yy06wWxsraOC2QELEgwoB60AeSeFR9h+HV34u1DWdXklRJbdEinz5a78DaDkZz/ABHpmneGWvG8cQ6SzS2lrqemSNLAupm6JyDtcn+FvpXqltoel2mmNplvYwR2TZ3W4T5DnrkVX0/wpoGk3Edxp+k2ttNEGCSRx4YA9eaAPLNN1TVdVOk+AZbm4F7ZalIL6UMQxgjORluvOf0Fdp8Wrqey8CSz2s8lvIlxDiSNiCBuq5o3hKWy8b6v4lu5YHa9VY7dI1IMaDru9zgVY8c+HLjxT4ak0u2nigkaWNw8oJX5Wz2pB1OLhnj0Px7ov9k6zdX8F/YyTahvuDNuAUkSY6A/4Vz8GtXh1TQNZspLqJL7UVjM1xqfmy3CFsMHhHCj6e1ew6X4b0fSJXuLHTbW3uJVAlkijALev4VDH4L8NRXP2mPRLNJvNEu9YgCHByCPTmmBxWhWDaj418Uahe6rqCwaPfmWK2ilOzOCSSO/Axiuat9Zvf7X8PaxZyXUKX+oCMzT6n5styhbB3wjhR9PavarXSrGynuZ7W1jilu333DKOZG9TWfH4L8NQ3P2mPRLNJvMEu9YgCHByCPSgDzXUP8Ajx+J/wD12j/nS6xe6nd6r4c0NFL2X9jRTLAb42izPtwTvHXHpXqT+HdHkW+V9PgZdRIN2Cv+uI/vUl94b0XU7OGzvtMtriC3AEKSID5YAwAPSgDyvWYtWtvh/aW+r3MVw8WuxrCY7kTmOPsjP3I9+a9B+IdnFeeBNWEu/wDdWzSrscr8yjjOOo9q0R4X0MadHpw0q2FnFIJUhCYUOOjfWtKSJJY2jkUOjjaysMgj0NIDx6WVdH+HPhyHT7+a2t9XuIU1G4ScsYlK8gHPyA+2OlbuibdF+KC6Lo2oT3emTWBmuIpLgzCFweDkk4zxx712Nv4V0G10+fT4NJtUtLht0sIjG1z6kVNpPh/SNCV10rTrezEhy/lJgt9TTA0KKWigAooooAKKKKACiiigAooooAaWxTUlSRQyMGU9CpyKSWNZo2jYZVwVI9jXFSaFrXhGZrrQJGvbEnMlnIckfT/HrUttG1Kmql1ez6eZ3Irzib/k4C3/AOwWf611eg+K9P10GONjBdL9+3l4YfT1rlJv+S/2/wD2Cj/WmmnsROEoPlkrM9HzUD3trGWWS5hQrwwaQDH15rE8S+KoNFAtLdDc6jKP3UCDOPQmvNtG8PQa54j8YyeJIRc3ttbBsFsBHKE5wO4wKXMr2KdKSgpvZ7HtDyxxoZHdUQclmOAPxpourdoTOs0ZiHWQONv59K8VivPtXhzwKuvzO2gu0q3jOx2FlJEYc+nTrT7gWaWnjpfD5z4fFimzyyTD53Gdnb16VRkezfa7bJ/0iLIIX746noPxo+2W2x5PtEWyM4dt4wp9Ce1ePeIPDmm6T8ONFntFkWbUbu0e5mMrF5CQec546npVweFNE/4WfqekCyA09dLFx9lDtsMnTcRnk/XuaAPWGnjSIytIqxgZLlgBj1zWD4x8Sv4d8J3Ot2SQ3TQldoZso2WA6j615bZ6nGfh74as76G3uEmvJ41m1CZxbQhWOPMCn5uOgNVIpB/wrXxlBHLC9vFfxGIW+7ygCwzsDchTQB7xZTNc2MFwwAaWJXIHQEjNT1U0r/kEWX/XvH/6CKt0AFFFFACUUtFABRRRQAUUUUAFFFFACUtFFABRRRQAUUUUAFFJS0AFFFFABRRRQAUUUUAJikIp1FAHO694PsdYk+0xlrO9XlbiLg59/WvOL99W0Tx4l1eXtu2ppaG2jeR1VShztck9+vWvaMV5Tr+iaf4g+OEFhqluLi2bTdxQkjkZx0qHDtodVPEuK5ZrmXS/Q3/DUfhrRib2716wutSlH7yZ7pTtz1C8/rXQW+reHJ7lktr/AE2Se4O1gkqFpfY45NY3/Cp/BX/QFX/v6/8AjXGfEbwRoPhmPRtQ0a0a0nOoRxkpIxBHXuevFUkkjCpUlUlzSep659htDa/ZfssP2fH+p8sbP++elC2NotsbVbWEW5GDEIxsP/AelT0tMggeztZIkikt4njjIKIyAhSOmB2pfstv57T+RH5rLtaTYNxHoT1xU1FAFU6dYm2+zGztzBnPlGJdufXGMUv9nWPlyR/Y4NkmN6+UuHx0yMc1ZooARVCgKoAAGAB2paKKACiiigAoopM0ALRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHm3xi86SHw/bRXU9sLnUBE7wuVbBGKd/wAKctv+hp1z/v8Aj/Cj4u/67wt/2Fk/pXo9AHnH/CnLb/oadc/7/j/Cj/hTlt/0NOuf9/x/hXo9FAHnH/CnLb/oadc/7/j/AAo/4U5bf9DTrn/f8f4V6PRQB5x/wpy2/wChp1z/AL/j/Cj/AIU5bf8AQ065/wB/x/hXo9FAHnH/AApy2/6GnXP+/wCP8KP+FOW3/Q065/3/AB/hXo9FAHnH/CnLb/oadc/7/j/CuRk8AQr8U4fD39t6mVaxM32rzR5o6/Ln04r3WvN5v+TgLf8A7BZ/rQAv/CnLb/oadc/7/j/Co5vgpp9yqrP4j1iUKdyh5VbB9RkV6XRQB5x/wpy2/wChp1z/AL/j/Cj/AIU5bf8AQ065/wB/x/hXo9FAHnH/AApy2/6GnXP+/wCP8KP+FOW3/Q065/3/AB/hXo9FAHnH/CnLb/oadc/7/j/Cj/hTlt/0NOuf9/x/hXo9FAHnH/CnLb/oadc/7/j/AAo/4U5bf9DTrn/f8f4V6PRQB5x/wpy2/wChp1z/AL/j/Cj/AIU5bf8AQ065/wB/x/hXo9FAHmN98I4LWwuLlfFGts0MTOAZxgkAn0rY+EU81z8PbOWeV5ZDJLlnYsT8x7mup1n/AJAl/wD9e0n/AKCa5L4N/wDJOLL/AK6S/wDoZoA7qiiigAooooAKKKKACiiigAooooAKKKKAPOPi7/rvC3/YWT+lej15x8Xf9d4W/wCwsn9K9HoAKKKKACiiigAooooAKKKKACvN5v8Ak4C3/wCwWf616RXm83/JwFv/ANgs/wBaAPSKKKKACiiigAooooAKKKKACiiigAooooApa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Question 3.State and verify laws of refraction using a glass slab.
Answer:There are two Laws of Refraction these are –
• The incident ray, the refracted ray and the normal to the surface at the point of incidence all lie in one plane.
• For any two given pair of media, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant.
• The second law is called Snells Law after the scientist Willebrod Van Roijen Snell who first formulated it.
Thus, Sin i by Sin r (where the i is the angle of incident and r is the angle of refraction) is equal to a constant that is equal to μ where, mew is the refractive index of the second medium (R2) with respect to the first medium (R1).
Hence
![](data:image/png;base64,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)
There are the procedure how we can verify the laws of refraction-
• Place a rectangular glass slab on a white sheet of paper fixed to a drawing board.
• Trace the boundary A1B1C1D1 of the glass slab.
• Remove the glass slab.
• Draw IO to represent the incident ray.
• Draw the normal MN at the point of incidence O.
• Fix two pins P1 and Q1 on the incident ray IO.
• Place the glass slab within its boundary A1B1C1D1.
• Look in from the other side of the glass slab, fix two pins R1 and S1 such that the feet of all the pins are in one straight line.
• Remove the glass slab and the pins.
• Mark the pin points P1, Q1, R1 and S1.
• Join R1 S1 to represent the emergent ray O2 E.
• Join O1O2 . O1O2 dash is the refracted ray.
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The incident ray, the refracted ray and the normal are all lying in the same plane. This proves the first law of refraction.
Measure and record the angle of incidence(i) and angle of refraction(r).
Repeat the experiment by varying the angle of incidence and Measure the corresponding angle of refraction.
Now find the ratio of the sine of the angle of incidence(i) to the sine of the angle of refraction(r).
The ratio of the sine of the angle of incidence to the sine of the angle of refraction is found to be the same in all the three cases.
![](data:image/png;base64,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)
This verifies the second law of refraction or Snells law that is sin i by sin r is equal to μ , a constant for a given pair of media.
Question 4.Draw a ray diagram to show the formation of image by a concave mirror for an object placed between its pole and Principal focus and state three characteristics of the image.
Answer:![](data:image/jpeg;base64,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When an object is placed between the principal focus (F) of the mirror and the pole of the mirror (P) then the image of the object is become on the back side of the mirror ,
YOU can see the image formation in above figure ,where the object AB is placed between focus and pole of the mirror and the image of the object AB is formed other side of the mirror .
This image will be –
• Virtual
• Large then the image
• And erect.
a) Draw ray diagrams to show how the image is formed, using a concave mirror when the position of object is i) at C ii) between C and F iii) between F and P of the mirror.
b) Mention in the diagram the position and nature of image in each case.
Answer:
(a)
• Image is inverted and same size
(b)
• Image is inverted , real and large in size
(c)
• Image will be Virtual and large in size
Question 2.
Explain with diagrams how refraction of incident light takes place from
a) rarer to denser medium
b) denser to rarer medium
c) normal to the surface separating the two media
Answer:
Refraction of light take place when light travels between two medium. As the speed of light is different in different medium that is the major factor for refraction of light .
(a)
As you can see in this figure the light is travelling from less dense medium to more dense medium ,its path is deviated ,this is because of refraction taking place between these two medium.
Whenever the light travels from less dense medium to more dense medium it will bend towards the normal to the surface.
As you can see in the diagram incident ray bends towards the normal axis .
In this case always incident angle I > r (angle of refraction)
(b)
when the ray of light travels from more dense medium to less dense medium it move away from the normal axis. As you can see in the following figure
Consider the figure above when light ray passes through the interface of two medium it will deviated from its path . in this case always
Angle of incident I < r (angle of refraction)
(c) when the light ray incident normally to the interface of two medium then it travels in same path , no deviation will be there. Because the angle of incident will be 0.
You can see this in following figure –
Question 3.
State and verify laws of refraction using a glass slab.
Answer:
There are two Laws of Refraction these are –
• The incident ray, the refracted ray and the normal to the surface at the point of incidence all lie in one plane.
• For any two given pair of media, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant.
• The second law is called Snells Law after the scientist Willebrod Van Roijen Snell who first formulated it.
Thus, Sin i by Sin r (where the i is the angle of incident and r is the angle of refraction) is equal to a constant that is equal to μ where, mew is the refractive index of the second medium (R2) with respect to the first medium (R1).
Hence
There are the procedure how we can verify the laws of refraction-
• Place a rectangular glass slab on a white sheet of paper fixed to a drawing board.
• Trace the boundary A1B1C1D1 of the glass slab.
• Remove the glass slab.
• Draw IO to represent the incident ray.
• Draw the normal MN at the point of incidence O.
• Fix two pins P1 and Q1 on the incident ray IO.
• Place the glass slab within its boundary A1B1C1D1.
• Look in from the other side of the glass slab, fix two pins R1 and S1 such that the feet of all the pins are in one straight line.
• Remove the glass slab and the pins.
• Mark the pin points P1, Q1, R1 and S1.
• Join R1 S1 to represent the emergent ray O2 E.
• Join O1O2 . O1O2 dash is the refracted ray.
The incident ray, the refracted ray and the normal are all lying in the same plane. This proves the first law of refraction.
Measure and record the angle of incidence(i) and angle of refraction(r).
Repeat the experiment by varying the angle of incidence and Measure the corresponding angle of refraction.
Now find the ratio of the sine of the angle of incidence(i) to the sine of the angle of refraction(r).
The ratio of the sine of the angle of incidence to the sine of the angle of refraction is found to be the same in all the three cases.
This verifies the second law of refraction or Snells law that is sin i by sin r is equal to μ , a constant for a given pair of media.
Question 4.
Draw a ray diagram to show the formation of image by a concave mirror for an object placed between its pole and Principal focus and state three characteristics of the image.
Answer:
When an object is placed between the principal focus (F) of the mirror and the pole of the mirror (P) then the image of the object is become on the back side of the mirror ,
YOU can see the image formation in above figure ,where the object AB is placed between focus and pole of the mirror and the image of the object AB is formed other side of the mirror .
This image will be –
• Virtual
• Large then the image
• And erect.
Numerical Problem
Question 1.The radius of curvature of a convex mirror is 40 cm. Find its focal length
Answer:as we know focal length f = R/2
Given that radius of curvature R = 40cm
Then the focal length will be
f = R/2 =40/2 = 20cm.
Question 2.An object of height 2 cm is placed at a distance 20 cm in front of a concave mirror of focal length 12 cm. Find the position, size and nature of the image.
Answer:given that
Object height ho = 2 cm
Object distance u = -20cm (left side of mirror)
Focal length f = -12cm (concave mirror)
As we know mirror equation -
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHoAAAAsCAMAAACdUFw8AAAAAXNSR0IArs4c6QAAAG9QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OjqQOmaQOpDbZgAAZgA6ZjoAZjo6ZjqQZpCQZpDbZrbbZrb/kDoAkGY6kNv/tmYAttv/tv//25A627aQ2////7Zm/9uQ/9u2//+2///bxEEnfwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABoElEQVRYR+1X2XLDIAy0esZtrp6kpE588P/fWAsfkFS4EmnH0xl48GSGXRYWSUFZlsasDhyePuL0JUQKW2/h+jNGWkIksdVyX0RJS4hBbJx0a5SESGMlK5zcjISYpJ11Et+S4b8R4VeR1awQEAms2eUAcPMqrmcSogQr3kgizOyAUe9z7SBJRziv24TvhqB09Dohw8clQz9C++QRv23Z0SIMEFMuDLO/MFx8BjnhwlPLBR3jP0j3rYE5bAFu2X/eHtzsAB73cpvG1kDDW1av2Q2Bgxt1d6wVmzhu0bUGeoHveuAWfgcvseaUbKLvjv8mFa5g4RoP3Kxx58QwCuD+WOVkb+dL22X4A+HoN0rjl9bGmZJc2JOucq7fVsTCO+nuSw77JixWOHdep5y0URYQGufEDv6jdJWvsmZDps4obVTgvkJOWvhgeJCLgJKeHaX1IuQZqT3A+zALG9bes6YvcpAubDhMWn6SGAPcJuRUajTrl2f6UH1rUD2012E0V9rBMbgnosxGF7Wqaw36IOJKe/C2IMJy6q7ozOLncELGOfAFQ94kuqd4S98AAAAASUVORK5CYII=)
![](data:image/png;base64,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)
V= -30
As we know magnification is
![](data:image/png;base64,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)
Putting values in formula we get -
![](data:image/png;base64,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)
hi=3cm
![](data:image/jpeg;base64,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)
Thus the image is 30cm from pole of mirror , its height will be 3 cm ,its real, inverted and magnified
Question 3.A concave mirror produces three times magnified real image of an object placed at 7 cm in front of it. Where is the image located?
Answer:Given that-
Object distance u = -7cm (left side of mirror)
Magnification m = 3
Image is real then the magnification formula become –
![](data:image/png;base64,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)
Putting values in formula we get -
![](data:image/png;base64,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)
V = 21cm
The image is located at 21 cm in front of mirror
Question 4.Light enters from air into a glass plate having refractive index 1.5. What is the speed of light in glass? (Speed of light in vacuum is 3 × 108 ms-1)
Answer:Given that –
Refractive index of glass =1.5
Speed of light in vacuum = 3 × 108 ms-1
As we know
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAa4AAAAwCAMAAAB+MG4vAAAAAXNSR0IArs4c6QAAALpQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OjoAOjo6OjpmOjqQOmY6OmaQOma2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZjqQZmYAZmY6ZoFmZpCQZpC2ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNvbkNv/tmYAtmY6tmZmtpA6trZmttvbttv/tv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/7aQ/9uQ/9u2//+2///bfxF/5gAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAGe0lEQVR4Xu2aC3ubNhSGEVmz0C1tXXfprm3idIntbmvtZLNnm///t3Yu0pEwwgYHUAbwPHVUoRvnQ+dIL4qi4RosMFhgsEDrFlgrdZPrNP1dqbdRtFDxdO+eJ6v1Ife6w3VernRyES1ArmiNcmULUNbe5Wmi1yZt8uE3SW52SdZBuTYvjXCDXE0KlG3bI5eY3zOVbJZvnrU37I71tL1VKh6t1iq+/yNRI3y6zZWKP+4n1GuZXXBfvfoC3i9ROqChIhzc0jlmqvPVOr6fU2CDX6XOvqLLxBL4s9QdRelEqW9XmwTupw/fKelexTcwoGkEd7CGTem60kDHxDj6OOnkfJV+Ol+BUS6/RA9o301yHT2iNplE+snELszeTlCA7Oyi6Tc7m0ZLLIntpTOKaRLFqMQmuZzC4oQ9K3YPJUCtycWKi1Pz45toIfHQpnTdyzu+279rN0aBXqFcODfQejP4h4uIbMJqM4NbYFSSRIczUgSzqN5uDD90j3/25SLNcIUCF5mdliumUeweLxsPbUrrTe9Ufp3aB/Xm6vIvsg6ZHmxFAnoSxkB8n34L5cJ7RkGvXNwIKfQ22r3TMwW7kDsH5CK9+ylXBDHjhTi2xdnX3RiDDUQTJ4G2zcpF08jnDEGlB5lTPAc9s0tEwfm8xumaPr6HqDfIddxFPCZiepldZgJhbbZtqdlFi4f42viy43Jh3JqRG75YURfD7DokGIYtClI6dl1w+MFrL2GmEq8OCmKXhKGyzhDk+e0nXG1kot+R2NVfZ0jrsCuaXaDCkldj11G6hJW8JBbxXbR9L+sKWD5ueUVns/S6Ip3omOQsNTA8faboZJcfstSAdwVXoxTDtr+g71xg91B+k4xW3KlNUQNU12nguPvoTontLUSMN2T67xP1zR0+Gexq4g+4PDOJdA5bs79xD0TXA1QZURWz7QIHOIU9EhRYUODDfZxkwc4rpppUgn4wLIqutCfD7dnonzF2Ab2+wHFAtQ/cqUnZBjDVHRFOeJJ6ANHuCoX5t/VlW2mirKH0CQbyV/GS73zR/W5Lj7dooPXIBStL6ECWC7VZxdsQz2RmJiVJl0Dp4pEdMITvVim75bstOd7CYZbq9qj51+jj0jn7t6Yv3GLD+0HdlXz8g9s1ZtEV5Sq1AcwXKjneIhNy5Hn6heRPvQGg2MKFMASn8+6H0nIdfClPMmEpufLdntRXCzZtuAv2vrgR0ETZIdQMlZcJEmKm1gSlf9WZ+1CZWfSfcNchz5Z3exA1sm4m37r9GcJt8NH6xc+zcIeAw0yWEWjOHpm/DRstXPMilxBlAdM4KGDC148vYdWqqbXeCWDmfQ4q8xvP6FOTZ4u5ubUMosZWmXxL+wip04lRK8/CLQGnghprG84uvD2cPRvu2cpliLIQajYw7Rckz27ceFz8FcGFypwl5HmvNbNBp3apHrUopdDgBlhHeRbuEHBD5oTkALAQ3m6MBrNVXx35AGGdof4mIITayqFXqsJunHCTx15mCjF59rRGtTHfsjmn1CZ5PdLG9rBwLZch4PLCGM5u/ha+4yLf/y9Bz+SRy6ztxRhgWFnvs+sib+WHynzXkGdb03GGHrlsn/ZDHMuVZeHoLC0BNyMA8sCcXf427JOCNV8wu8x4WBm7D9TOEDMLoLIWU5Pn7A5Sx66C2UV97n782exifF+aMgRcRoAVibM7f+k/3XeGAqYdZ2jzHLkKoLKWS5NnT2viDPketmhLpbdT+jhLs9fDwiWu0XEJg7UNZxfeHuztb7pjOi+grWYQsibUkp2h1mZF4oXKyKL1HonJs8Xc2U5oqWHJt4Hh6Yw+2mocioksC88ScMHahrMLb2/aaqHaB29BerlEWQg1Q2Wync4jKG0yvVCZETS2qH3aXmsuonbIN5cCVxfD7BJ8nWPhWQIuWNtwduHttZqz4QO9T8aftT5srY2FIeAelFPngd7uAppWCbi8aB5OJlk1HOjtrlytEvBDctV5oLe7cuG+qjYCHvRAb+YAcC/xZ8UoGfhAr3MAuJ/4s6JcgQ/0VsWfFZ+ue8XDHuh9Mv7sniBHnijsgd6+488TXreQB3or4s8Tnq5TVUIf6O07/qz4MgU+0Nt3/FlRLTjXEfZAb+YAcEv4s6qNnmP5eo4cVsWZVcs/R8sFGVM9clXFmVXLBzHNc+y0Hrmq4syq5Z+j5UKMKdSB3jrxZwi7DX0OFhgsMFggiAX+A+gyiahHM/qTAAAAAElFTkSuQmCC)
So ![](data:image/png;base64,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)
Speed of light in glass =2×108m/s
Question 5.The speed of light in water is 2.25 × 108 ms-1. If the speed of light in vacuum is 3 × 108 ms-1, calculate the refractive index of water.
Answer:Given that –
Speed of light in water is = 2.25 × 108 ms-1
Speed of light in vacuum = 3 × 108 ms-1
As we know
![](data:image/png;base64,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)
So
![](data:image/png;base64,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)
The refractive index of water =1.33
The radius of curvature of a convex mirror is 40 cm. Find its focal length
Answer:
as we know focal length f = R/2
Given that radius of curvature R = 40cm
Then the focal length will be
f = R/2 =40/2 = 20cm.
Question 2.
An object of height 2 cm is placed at a distance 20 cm in front of a concave mirror of focal length 12 cm. Find the position, size and nature of the image.
Answer:
given that
Object height ho = 2 cm
Object distance u = -20cm (left side of mirror)
Focal length f = -12cm (concave mirror)
As we know mirror equation -
V= -30
As we know magnification is
Putting values in formula we get -
hi=3cm
Thus the image is 30cm from pole of mirror , its height will be 3 cm ,its real, inverted and magnified
Question 3.
A concave mirror produces three times magnified real image of an object placed at 7 cm in front of it. Where is the image located?
Answer:
Given that-
Object distance u = -7cm (left side of mirror)
Magnification m = 3
Image is real then the magnification formula become –
Putting values in formula we get -
V = 21cm
The image is located at 21 cm in front of mirror
Question 4.
Light enters from air into a glass plate having refractive index 1.5. What is the speed of light in glass? (Speed of light in vacuum is 3 × 108 ms-1)
Answer:
Given that –
Refractive index of glass =1.5
Speed of light in vacuum = 3 × 108 ms-1
As we know
So
Speed of light in glass =2×108m/s
Question 5.
The speed of light in water is 2.25 × 108 ms-1. If the speed of light in vacuum is 3 × 108 ms-1, calculate the refractive index of water.
Answer:
Given that –
Speed of light in water is = 2.25 × 108 ms-1
Speed of light in vacuum = 3 × 108 ms-1
As we know
So
The refractive index of water =1.33