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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 |
Level 4: Below 35%
Hints
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 |
88%
Level 1: 80%+
Hints
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 |
57%
Level 3: 35%-60%
Hints
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%
Level 2: 60%+
Hints
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 |
77%
Level 2: 60%+
Hints
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 |
76%
Level 2: 60%+
Hints
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 |
76%
Level 2: 60%+
Hints
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 |
Level 3: 35%-60%
Hints
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: Prisms |
52%
Level 3: 35%-60%
Hints
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%
Level 2: 60%+
Hints
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