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Question

# The focal length of a convex lens of refractive index 1.5 is f when it is places in air. When it is immersed in a liquid it behaves as a converging lens its focal length becomes xf(x>1). The refractive index of the liquid

A
>3/2
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B
<(3/2) and >1
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C
<3/2
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D
all of these
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Solution

## The correct option is B <(3/2) and >11f=(n−1)(1R1+1R2)⇒1f=(1.51−1)(1R1+1R2) when the lens is placed in air and 1xf=(1.5y−1)(1R1+1R2) when the lens is places in the liquid.where y=R.l. of the liquidsolving we get, y=32+1/xHence (B) is correct.

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