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Question

A telescope is used to view the moon. What is the angle subtended by the moon at the telescope, if the focal length of objective lens of the telescope is 12 cm and the size of the image of the moon formed by the objective is 2 cm ?

A
2.77
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B
3.77
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C
4.77
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D
5.77
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Solution

The correct option is C 4.77
f0=12 cm
Size of the image h=1 cm


Let θ be the angle subtended by moon on the telescope.
Angle subtended by its image will also be θ, as shown in the diagram.
From the diagram,
tanθ=hf0
as θ is small, tanθθ
hf0=112 rad4.77

Hence, (C) is the correct answer.

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