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Question

Two lenses of focal lengths f1 and f2 are placed side by side. What is the focal length of the composite lens?

A
f1f2f1+f2
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B
f1f2f1+f2
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C
f1f2f1f2
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D
f1+f2
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Solution

The correct option is A f1f2f1+f2

The net power of lenses of individual powers P1,P2,P3, and so on, placed in contact is given by,

Net power, P=P1+P2+P3 ...

The power P1 of the lens of focal length f1 = 1f1.

The power P2 of the lens of focal length f2 = 1f2.

P=P1+P2 = 1f1+1f2
Let f be the focal length of the combination.

1f = 1f1+ 1f2

f=f1f2f1+f2



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