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Q.

There is an equiconvex glass lens with radius of each face as R and  aμg=32 and  aμω=43. If there is water in object space and air in image space, then the focal length is: 

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a

R

b

3R2

c

R2

d

2R

answer is C.

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Detailed Solution

Consider the refraction of the first surface i.e. refraction from rarer medium to denser medium 

μ2-μ1R=μ1-u+μ2v1   32-43R=43+32v1 v1=9R

Now consider the refraction at the second surface of the lens i.e. refraction from denser medium to rarer medium

1-32-R=-329R+1v2 v2=32R

The image will be formed at a distance do 3R2 . 

This is equal to the focal length of the lens.

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