Geometrical OpticsHard

Question

A lens have focal length f and and aperture of diameter d forms an image of intensity I. Aperture of diameter in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively

Options

A.f and
B. and
C.f and
D. and

Solution

Focal length of lens remains same
Intensity of image formed by lens is proportional to area exposed to incident light from objrct
i.e., Intensity ∝ area.
or
After blocking, exposed area



or I2 =        (∵ I1 = I)
Hence, focal length of lens = f, intensity of the image =

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