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Q.

A thin lens is made with a material having refractive index μ=1.5.. Both the sides are convex. It is dipped in water (μ= 1.33). It will behave like

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a

a convergent lens

b

a divergent lens

c

a rectangular slab

d

a prism

answer is A.

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Detailed Solution

consider a lens of focal length l with radius of curvature of both the surfaces R1 and R2 1f= (1.5-1)(1R1+1R2) = 0.5(1R1+1R2) 

if the lens is placed in water then the focal length f' is given by 

1f'=(1.51.33-1)(1R1+1R2) = 0.171.33(2f)

since f is positive f' is also positive hence the lens is converging lens 

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