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Question

Physics Question on Ray optics and optical instruments

A far sighted person has his near point 50 cm, find the power of lens he should use to see at 25 cm, clearly.

A

+ 1 D

B

+ 2 D

C

- 2 D

D

- 1 D

Answer

+ 2 D

Explanation

Solution

Here u=25cm,v=50cmu = - 25 \,cm, v = -50 \,cm We have 1f=1u+1v\frac{1}{f}=\frac{1}{-u}+\frac{1}{v} i.e, 1f=125150\frac{1}{f}=\frac{1}{25}-\frac{1}{50} or f=50cmf = 50\, cm Power of lens he should use, P=100f=10050=+2D P=\frac{100}{f}=\frac{100}{50}=+2D