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Q. No.An incident ray falling at an angle of \(30^\circ\) with the \(x\)-axis is reflected by a mirror to a (reflected) ray making \(60^\circ\) with the \(x\)-axis. The angle made by the mirror's surface (not shown in the diagram) with the \(x\)-axis is:
1. \(15^\circ\)
2. \(45^\circ\)
3. \(75^\circ\)
4. \(105^\circ\)
Subtopic: Reflection at Plane Surface |
63%
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A ray of light falling on a \(2^\circ\)-prism (thin prism) undergoes a \(3^\circ\)-deviation on the first surface and no deviation on the second. The refractive index of the material of the prism is:
1. \(1.5\)
2. \(1.75\)
3. \(2.0\)
4. \(2.5\)
1. \(1.5\)
2. \(1.75\)
3. \(2.0\)
4. \(2.5\)
Subtopic: Prisms |
74%
From NCERT
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A ray of light \((1)\) gets reflected partially at the front surface of a thin film of thickness \(t,\) and refractive index \(\mu.\) The reflected ray from the front surface is \(2\) while that emerging due to reflection from the rear surface is \(3.\) Assume that ray \(1\) is incident normally. The optical path difference between rays \(2\) and \(3\) is:
| 1. | \((\mu-1)t\) | 2. | \(2(\mu-1)t\) |
| 3. | \(\mu t\) | 4. | \(2\mu t\) |
Subtopic: Refraction at Plane Surface |
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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%
From NCERT
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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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