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Question

Physics Question on Ray optics and optical instruments

A lens behaves as a converging lens in air and diverging lens in water. The refractive index of the material of the lens is

A

equal to that of water

B

less than that of water

C

greater than that of water

D

Nothing can be predicted

Answer

less than that of water

Explanation

Solution

If a lens (made of glass) of refractive index μg\mu_{g} is immersed in a liquid of refractive index μl\mu_{l}, then its focal length in liquid flf_{l} is given by 1fl=(lμg1)[1R11R2]...(i)\frac{1}{f_{l}}=\left(_{l} \mu_{g}-1\right)\left[\frac{1}{R_{1}}-\frac{1}{R_{2}}\right]\,\,\,\, ...(i) If $\mu_{g}