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A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is 9 cm, while the planar surface (STU) acts as a mirror. This beaker is filled with a liquid of refractive index n up to the level QPR. If the image of a point object O at a height of ℎ (OT in the figure) is formed onto itself, then, which of the following option(s) is(are) correct?
A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is 9 cm, while the planar surface (STU) acts as a mirror. This beaker is filled with a liquid of refractive index n up to the level QPR. If the image of a point object O at a height of ℎ (OT in the figure) is formed onto itself, then, which of the following option(s) is(are) correct?
Updated On: Jul 12, 2024
- For \(n = 1.42, ℎ = 50 \ cm\)
- For \(n = 1.35, ℎ = 36 \ cm\)
- For \(n = 1.45, ℎ = 65 \ cm\)
- For \(n = 1.48, ℎ = 85 \ cm\)
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The Correct Option is A, B
Solution and Explanation
The correct option is (A):For \(n = 1.42, ℎ = 50 \ cm\) and (B):For \(n = 1.35, ℎ = 36 \ cm\)
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