A microscope has an objective of focal length 2 cm, eyepiece of focal length 4 cm and the tube length of 40 cm. If the distance of distinct vision of eye is 25 cm, the magnification in the microscope is [2025]

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Solution

Q.
A microscope has an objective of focal length 2 cm, eyepiece of focal length 4 cm and the tube length of 40 cm. If the distance of distinct vision of eye is 25 cm, the magnification in the microscope is [2025]

1 150

2 250

3 100

4 125

Ans.
(4)

Focal length of objective lens, $f_{o} = 2 cm$

Focal length of eyepiece lens, $f_{e} = 4 cm$

Distance of distinct vision, $D = 25 cm$

$m = \frac{L}{f_{0}} \times \frac{D}{f_{e}} = \frac{40}{2} \times \frac{25}{4}$

$m = 125$

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