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Question

Two thin lenses of focal lengths f1 and f2 are placed in contact with each other. The focal length of the combination will be given by:

A
f1f2f1f2
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B
f1f2
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C

f1f2f1+f2

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D

f1+f22

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Solution

The correct option is C

f1f2f1+f2


The power of a lens is defined as the reciprocal of its focal length (in metres). When there is a combination of two lenses in contact, the effective power of the combination is the sum of the individual powers.

Total Power, P=P1 + P2
1f=1f1+1f2
f=f1f2f1+f2

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