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Question

A telescope consists of two convex lenses of focal length 16 cm and 2 cm. If the object subtends an angle of 0.5 on the eye, what will be the angle subtended by the image on the eyepiece in relaxed eye? (In degree)

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Solution

Angular magnification is given by,
M=αβ

In relaxed eye adjustment,

M=f0fe=162=8

Given that, α=0.5

Angular subtended by image,

β=Mα=8×0.5=4

Hence, 4 is the correct answer.

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