The focal lengths of the objective and eye-lens of a microscope are 1 cm and 5 c

Question

The focal lengths of the objective and eye-lens of a microscope are 1 cm and 5 cm respectively. If the magnifying power for the relaxed eye is 45, then the length of the tube is

Options:

A . 30 cm

B . 25 cm

C . 15 cm

D . 12 cm

Answer: Option C
:
C
Given that

f_{0} = 1 c m, f_{e} = 5 c m, m_{\infty} = 45

By using

m_{\infty} = \frac{(L_{\infty} - f_{0} - f_{e})}{f_{0} f_{e}} \Rightarrow 45 = \frac{(L_{\infty} - 1 - 5) \times 25}{1 \times 5} \Rightarrow L_{\infty} = 15 c m

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