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Question

A symmetric double convex lens is cut in two equal parts by a plane perpendicular to the principal axis. If the power of the original lens was 4D, the power of a cut-lens will be


A

2D

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B

3D

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C

4D

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D

5D

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Solution

The correct option is A

2D



Lets find the focal length of each cut lens in focus of focal length of the original lens
Now; 1f=(x1)(2R) (Lets say x is the refractive index of the lens)
We get; 1R=12f(x1)
Now; for one plano convex lens;
1f=(x1)(1R)
1f=(x1)(12f(x1))
f=2f
Now, According to the problem;
f=14×100=25cm
f=50cm
P=2D


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