Select Question Set:
Q. No.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
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 \(2\) |
Subtopic: Refraction at Plane Surface |
Level 3: 35%-60%
Hints
If a convex lens \((\mu=1.5)\) is immersed in water \(\left(\mu=\dfrac{4}{3}\right)\) then its focal length in water is:
| 1. | \(\dfrac14\) of that in air | 2. | \(\dfrac89\) of that in air |
| 3. | \(\dfrac98\) of that in air | 4. | \(4\) times that in air |
Subtopic: Lens Makers' Formula |
70%
Level 2: 60%+
Hints
Select Question Set:
© 2025 GoodEd Technologies Pvt. Ltd.