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Question

An astronomical telescope has the objective lens and the eyepiece of focal lengths 80 cm and 5 cm respectively. Find its magnifying power, if the final image is formed at a distance of 50 cm from the eyepiece.

A
19.6
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B
17.6
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C
14.4
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D
28.8
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Solution

The correct option is B 17.6
Given:
fo=80 cm
fe=5 cm
ve=50 cm

On using lens formula for eyepiece,

1ve1ue=1fe

1(50)1ue=15

ue=4.54 cm

The general formula for magnifying power of a telescope is,

m=fo|ue|=804.54=17.6

Hence, option (B) is the correct answer.

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