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Q.

An equiconvex lens of glass(μg=1.5) of focal length 10 cm is silvered on one side. It will behave like a

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a

Convex mirror of focal length5.0 cm

b

Convex mirror of focal length10.0 cm

c

Convex mirror of focal length20.0 cm

d

Concave  mirror of focal length2.5 cm

answer is D.

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Detailed Solution

For equiconvex lens of glass with μg=1.5,  |R1|=|R2|=f=10 cm.                  Power of silvered lens P=2 PL+PM−1F=2(μ−1)(1R1−1R2)−2R2       =2(1.5−1)(110−1−10)−2−10       =15+15=25F=−2.5 cm.Therefore, equiconvex lens silvered at one face behaves as a concave mirror of focal length 2.5 cm.
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