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Q.

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

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a

Convex mirror of focal length10.0cm

b

Concave  mirror of focal length2.5cm

c

Convex mirror of focal length5.0cm

d

Convex mirror of focal length20.0cm

answer is D.

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Detailed Solution

For equiconvex lens of glass with μg=1.5,|R1|=|R2|=f=10cm.                  

Power of silvered lens P=2PL+PM

1F=2(μ1)(1R11R2)2R2

       =2(1.51)(110110)210

       =15+15=25

F=2.5cm.

Therefore, equiconvex lens silvered at one face behaves as a concave mirror of focal length 2.5 cm.

 

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