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Q. No.A solid sphere (centre \(O\)) of homogeneous transparent material kept upright has rays parallel to its vertical diameter falling on it. A ray that is aimed at \(P,\) where the horizontal distance \(OP=\dfrac{\sqrt3}{2}R\) (\(R\) being the sphere's radius), undergoes refraction at the sphere's surface and strikes the lowest point \(A.\)
Rays falling close to the highest point \((B)\) of the sphere are directed towards a point \(Q\) on the vertical diameter \(AB,\) after refraction. The distance \(BQ\) is:
Rays falling close to the highest point \((B)\) of the sphere are directed towards a point \(Q\) on the vertical diameter \(AB,\) after refraction. The distance \(BQ\) is:
| 1. | \(\dfrac{R}{2}\) | 2. | \(\dfrac{R\sqrt3}{\sqrt3 +1}\) |
| 3. | \(\dfrac{R\sqrt3}{2}\) | 4. | \(\dfrac{R\sqrt3}{\sqrt3 -1}\) |
Subtopic: Â Refraction at Curved Surface |
From NCERT
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A solid sphere (centre \(O\)) of homogeneous transparent material kept upright has rays parallel to its vertical diameter falling on it. A ray that is aimed at \(P,\) where the horizontal distance \(OP=\dfrac{\sqrt3}{2}R\) (\(R\) being the sphere's radius), undergoes refraction at the sphere's surface and strikes the lowest point \(A.\)
The refractive index of the material of the sphere is:
1. \(2\)
2. \(\sqrt2\)
3. \(\sqrt3\)
4. \(\sqrt{\dfrac32} \)
The refractive index of the material of the sphere is:
1. \(2\)
2. \(\sqrt2\)
3. \(\sqrt3\)
4. \(\sqrt{\dfrac32} \)
Subtopic: Â Refraction at Curved Surface |
From NCERT
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Hints
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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: Â Refraction at Curved Surface |
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From NCERT
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NEET 2026 - Target Batch - Vital
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NEET 2026 - Target Batch - Vital
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