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Question: If the focal lengths of objective and eye lens of a microscope are 1.2 *cm* and 3 *cm* respectively ...

If the focal lengths of objective and eye lens of a microscope are 1.2 cm and 3 cm respectively and the object is put 1.25 cm away from the objective lens and the final image is formed at infinity, then magnifying power of the microscope is

A

150

B

200

C

250

D

400

Answer

200

Explanation

Solution

Given that fo=1.2cmf_{o} = 1.2cm, fe=3cmf_{e} = 3cm, uo=1.25cmu_{o} = 1.25cm

By using m=fo(uofo)Dfem_{\infty} = - \frac{f_{o}}{(u_{o} - f_{o})} \cdot \frac{D}{f_{e}}

m=1.2(1.251.2)×253=200m_{\infty} = - \frac{1.2}{(1.25 - 1.2)} \times \frac{25}{3} = - 200.