First slide

The optical instruments

Question

The focal lengths of the objective and eye-piece of a telescope are respectively 100 cm and 2 cm. The moon subtends an angle of 0.5° at the eye. If it is looked through the telescope, the angle subtended by the moon's image will be

Moderate

A

100°
B

50°
C

25°
D

10°

Solution

$\frac{β}{α} = \frac{f_{o}}{f_{e}} \Rightarrow \frac{β}{0 {.5}^{\circ}} = \frac{100}{2} \Rightarrow β = 25^{\circ}$

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