If the focal length of the objective lens and the eye lens are 4 mm and 25 mm re

Question

If the focal length of the objective lens and the eye lens are 4 mm and 25 mm respectively in a compound microscope. The length of the tube is 16 cm. Find its magnifying power for relaxed eye position

Options:

A . 32.75

B . 327.5

C . 0.3275

D . None of the above

Answer: Option B
:
B
The image distance for the objective, in this case, is

L - f_{0} - f_{e}

as the focal lengths are not negligible compared to the length of the telescope.
By using

m_{\infty} = \frac{(L - f_{0} - f_{e}) D}{f_{0} f_{e}}

= \frac{(16 - 0.4 - 2.5) \times 25}{0.4 \times 2.5} = 327.5

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