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>> $The focal lengths of the objective and e$

Question

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

A

$30 c m$

B

$25 c m$

C

$15 c m$

D

$12 c m$

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Updated on : 2022-09-05

Solution

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Correct option is C)

by using $m_{\infty} = \frac{( L _{\infty} - f _{o} - f _{e} ) . D}{f _{o} f _{e}}$

$\Rightarrow 45 = \frac{( L _{\infty} - 1 - 5 ) \times 2 5}{1 \times 5} \Rightarrow L_{\infty} = 15 c m$ .

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