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Cutting of Thin Lenses

How will the ...

Question

How will the following be affected on cutting the lens into two halves along the principle axis?
(a) focal length
(b) intensity of image formed by half lens

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Solution

--There will be no effect on focal length as the radius of curvature will remain same and then the focus will be same.

--Intensity of image formed will be less since the aperture of each part will become $\frac{1}{\sqrt{2}}$ times of the complete lens.

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