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Question

An object is placed at f2 away from first focus of a convex lens where f is the focal length of the lens. Its image is formed at a distance 3f2 in a slab of refractive index 32, from the face of the slab facing the lens. Find the distance of this face of the slab from the second focus of the lens.

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A
f2
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B
3f2
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C
2f
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D
f
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Solution

The correct option is D f
u=3f2 ; f=+f

1v1u=1f

1v23f=1f

v=+3f

image is formed at a distance 3f2 from the face i.e, in air it is a distance dμ=3f232=f from the face

so the distance between second focus and the face is 3fff=f
option D is correct

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