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Q.

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

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a

> 3/2

b

< 3/2 and > 1

c

< 3/2

d

= 3/2

answer is B.

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Detailed Solution

f'f=μg-1μgμl-1, f'=xf and x>1 ∴μl<μg⇒μl<32μl is absolute refractive index always >1
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The focal length of a convex lens of refractive index 1.5 is 'f' when it is placed in air. When it is immersed in a liquid it behaves as a converging lens and its focal length becomes xf (x > 1). The refractive index of the liquid is