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Question

Question: A person can see clearly only upto a distance of 25 cm. He wants to read a book placed at a distance...

A person can see clearly only upto a distance of 25 cm. He wants to read a book placed at a distance of 50 cm. What kind of lens does he require for his spectacles and what must be its power

A

Concave – 1.0 D

B

Convex + 1.5 D

C

Concave– 2.0 D

D

Convex + 2.0 D

Answer

Concave– 2.0 D

Explanation

Solution

For correcting myopia, concave lens is used and for lens.

u = wants to see =50cm= - 50cm

v = can see =25cm= - 25cm

From 1f=1v1u1f=1251(50)f=50cm\frac{1}{f} = \frac{1}{v} - \frac{1}{u} \Rightarrow \frac{1}{f} = \frac{1}{- 25} - \frac{1}{( - 50)} \Rightarrow f = - 50cm

So power P=100f=10050=2DP = \frac{100}{f} = \frac{100}{- 50} = - 2D