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Q.

A thin convex lens of focal length ‘f’ is put on a plane mirror as shown in the figure. When an object is kept at a distance ‘a’from the lens-mirror combination, its image is formed at a distance a/3 in front of the combination. The value of ‘a’ is 
 

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a

f

b

3f

c

32f

d

2f

answer is D.

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Detailed Solution

1feq=1fl+1fm+1fl=2f

Acts as a concave mirror 

1feq=1v+1u

2f=3a+1a

a=2fas concave mirror

act as concave mirror

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A thin convex lens of focal length ‘f’ is put on a plane mirror as shown in the figure. When an object is kept at a distance ‘a’from the lens-mirror combination, its image is formed at a distance a/3 in front of the combination. The value of ‘a’ is