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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.
159961_4145d546a5a1450e810769ee1e4b59fe.png
  1. 2f
  2. 3f2
  3. f2
  4. f

A
f2
B
3f2
C
2f
D
f
Solution
Verified by Toppr

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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