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Q. No.If two convex lenses of powers \(P_1,P_2\) be placed close together, co-axially, the combination behaves as a lens of power:
1.
\(P_1+P_2\)
2.
\(|P_1-P_2|\)
3.
\({\Large\frac{P^2_1}{P_2}}\)
4.
\({\Large\frac{P^2_2}{P_1}}\)
Subtopic: Lenses |
86%
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Two convex lenses \((L_1,L_2)\) of focal lengths, \(20\) cm \((L_1)\) and \(40\) cm \((L_2),\) are placed co-axially at a separation of \(60\) cm. If a parallel beam of light is incident on \(L_1,\) the emerging beam from \(L_2\)
| 1. | is parallel but wider. | 2. | is parallel but narrower. |
| 3. | is convergent. | 4. | is divergent. |
Subtopic: Refraction at Curved Surface |
56%
From NCERT
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A ray is incident normally onto the surface \(AB\) of the prism \((\angle A=30^\circ,\angle B=90^\circ).\) The refractive index of the material of the prism is \(\sqrt2.\) The deviation of this ray is:
1. \(30^\circ\) downward
2. \(15^\circ\) downward
3. \(30^\circ\) upward
4. \(15^\circ\) upward
1. \(30^\circ\) downward
2. \(15^\circ\) downward
3. \(30^\circ\) upward
4. \(15^\circ\) upward
Subtopic: Prisms |
69%
From NCERT
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A parallel beam of light is incident onto a converging lens \((L_1)\) of focal length \(20~\text{cm}.\) A second identical lens \((L_2)\) is to be placed behind \(L_1,\) coaxially, so that the emerging beam is parallel. The distance between \(L_1\) and \(L_2\) should be:
| 1. | \(10\) cm | 2. | \(20\) cm |
| 3. | \(40\) cm | 4. | zero |
Subtopic: Lenses |
76%
From NCERT
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Given below are two statements:
| 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. |
Subtopic: Total Internal Reflection |
75%
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Which, of the following, does not suffer from chromatic aberration?
| 1. | convex lens |
| 2. | plano-convex lens |
| 3. | concave lens |
| 4. | concave mirror |
Subtopic: Lenses |
79%
From NCERT
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A ray of light is incident on a mirror which is lying on the \(x\text-y\) plane. The reflected ray travels along the direction of the vector \(3\hat i-4\hat j+2\hat k.\) The incident ray must be along:
| 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. | \(-3\hat i+4\hat j-2\hat k\) |
Subtopic: Reflection at Plane Surface |
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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. \(\cot\theta\)
1. \(\sin\theta\)
2. \(\cos\theta\)
3. \(\tan\theta\)
4. \(\cot\theta\)
Subtopic: Refraction at Plane Surface |
51%
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As light traverses through an optical medium, it is observed that its wavelength decreases.
| 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. |
Subtopic: Refraction at Plane Surface |
65%
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A ray of light travelling in the air along the \(x\)-axis encounters a medium and the refracted ray is along \(\hat i+\sqrt3\hat j.\) The refractive index of the medium is:
1. less than or equal to \(2\)
2. greater than or equal to \(2\)
3. equals \(2\)
4. greater, less or equal to \(2\)
1. less than or equal to \(2\)
2. greater than or equal to \(2\)
3. equals \(2\)
4. greater, less or equal to \(2\)
Subtopic: Refraction at Plane Surface |
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