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Question: The length of the compound microscope is 14 cm. The magnifying power for relaxed eye is 25. If the f...

The length of the compound microscope is 14 cm. The magnifying power for relaxed eye is 25. If the focal length of eye lens is 5 cm, then the object distance for objective lens will be

A

1.8 cm

B

1.5 cm

C

2.1 cm

D

2.4 cm

Answer

1.8 cm

Explanation

Solution

vo=9 cm\Rightarrow v _ { o } = 9 \mathrm {~cm}

Magnifying power of microscope for relaxed eye

m=vouoDfem = \frac { v _ { o } } { u _ { o } } \cdot \frac { D } { f _ { e } } or uo=95=1.8 cmu _ { o } = \frac { 9 } { 5 } = 1.8 \mathrm {~cm}