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Q. No.The power of an equi-convex lens is \(P.\) After cutting it in different ways, the combination of lenses is listed in Column I, along with their effective powers in Column II. Match the items in the two columns.
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.
\(\mathrm{A → S, B → R, C → Q, D → Q}\)
Subtopic: Lenses |
79%
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Given below are two statements:
| 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. |
Subtopic: Lens Makers' Formula |
69%
From NCERT
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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%
From NCERT
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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 |
From NCERT
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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%
From NCERT
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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%
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 |
From NCERT
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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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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%
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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