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Question

Two identical glass (μe=3/2) lenses of focal length f each keeps in contact. The space between the two lenses is filled with water (μw=4/3). The focal length of the combination is.
  1. 4f/3
  2. f
  3. f/3
  4. 3f/4

A
f
B
4f/3
C
3f/4
D
f/3
Solution
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The water in between two convex lenses in contact acts like concave lens.

Focal length of convex lens is given by

1f=(μe1)2R=1R

Focal length of concave lens is given by

1f=(μw1)2R=23f

f=3f2

Equivalent focal length is given by

P=1feq=1f23f+1f=43f

feq=3f4

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