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Question

Physics Question on spherical lenses

A biconvex lens of focal length f forms a circular image of radius r of sun in focal plane. Then which option is correct ?

A

πr2f\pi r^2 \propto f

B

πr2f2\pi r^2 \propto f^2

C

If lower half part is convered by black sheet, then area of the image is equal to πr2/2\pi r^2/2

D

If f is doubled, intensity will increase

Answer

πr2f2\pi r^2 \propto f^2

Explanation

Solution

\hspace25mm r=f \, tan \, \theta
or \hspace25mm r ? f \, \therefore \, \, \, \, \pi r^2 ? f^2