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Q.

A telescope has an objective of focal length 100 cm and an eyepiece of focal length 2.5 cm. If you look into the objective (that is, into the wrong end) of this telescope, you will see distant objects reduced in size. By what factor will the angular size of objects be reduced?

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a

40

b

10

c

20

d

4

answer is A.

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Detailed Solution

$m = \frac{f_{0}}{f_{e}}$

$\Rightarrow m = \frac{100}{2.5} = \frac{1000}{25} = 40$

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A telescope has an objective of focal length 100 cm and an eyepiece of focal length 2.5 cm. If you look into the objective (that is, into the wrong end) of this telescope, you will see distant objects reduced in size. By what factor will the angular size of objects be reduced?