First slide

The optical instruments

Question

Magnification of a compound microscope is 30. Focal length of eye-piece is 5 cm and the image is formed at a distance of distinct vision of 25 cm. The magnification of the objective lens is

Moderate

A

6
B

5
C

7.5
D

10

Solution

$m = \frac{v_{o}}{u_{o}} (1 + \frac{D}{f_{e}}) = m_{o} (1 + \frac{D}{f_{e}}) \Rightarrow 30 = m_{o} (1 + \frac{25}{5}) = m_{0} \times 6 \Rightarrow m_{o} = 5$

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