Q. No.Two identical right-angled prisms are placed back to back as shown. A ray of light, incident on the first prism, making an angle \(\theta\) with its surface – passes through the system and emerges parallel to itself. The refractive index of the material of the prism is:
1. \(\sin\theta\)
2. \(\cos\theta\)
3. \(\tan\theta\)
4. \(\cot\theta\)
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| Statement I: | In this case, the frequency of light increases. |
| Statement II: | In the above case, the refractive index of the medium increases. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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| 1. | less than or equal to \(2\) |
| 2. | greater than or equal to \(2\) |
| 3. | equals \(2\) |
| 4. | greater, less or equal to \(2\) |
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| 1. | \(\dfrac14\) of that in air | 2. | \(\dfrac89\) of that in air |
| 3. | \(\dfrac98\) of that in air | 4. | \(4\) times that in air |
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| Statement I: | Chromatic aberration has different signs for concave and convex lenses. |
| Statement II: | Chromatic aberration is absent in mirrors. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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| Column I | Column II | ||
| (A) |  |
(P) | zero |
| (B) |  |
(Q) | \(P\) |
| (C) |  |
(R) | \(2P\) |
| (D) |  |
(S) | \(\dfrac P2\) |
| 1. | \(\mathrm{A → Q, B → P, C → S, D → R}\) |
| 2. | \(\mathrm{A → S, B → R, C → Q, D → P}\) |
| 3. | \(\mathrm{A → Q, B → S, C → Q, D → R}\) |
| 4. | \(\mathrm{A → S, B → R, C → Q, D → Q}\) |
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| 1. | \(-3\hat i+4\hat j+2\hat k\) | 2. | \(3\hat i-4\hat j-2\hat k\) |
| 3. | \(-3\hat i-4\hat j+2\hat k\) | 4. | \(-3\hat i+4\hat j-2\hat k\) |
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| 1. | convex lens | 2. | plano-convex lens |
| 3. | concave lens | 4. | concave mirror |
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| Statement I: | In total internal reflection, the angle of incidence must be greater than a certain minimum angle which depends on the media involved. |
| Statement II: | Total internal reflection cannot occur when light is traveling from an optically rarer to an optically denser medium. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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| 1. | \(10\) cm | 2. | \(20\) cm |
| 3. | \(40\) cm | 4. | zero |
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