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Question:

The near point and far point of a person are 40 cm and 250 cm respectively. Determine the power of the lens he/she should use while reading a book kept at distance 25cm from the eye.

2.5D

3.5D

5.0D

1.5D

Solution:

Correct option is C.
1.5D
If an object is placed at 25 cm from the correcting lens, it should produce the virtual image at 40 cm. Thus, u = −25cm, v = −40cm
1/f = 1/v − 1/u = 1/(-40cm) + 1/(25cm)
f = 200/3 cm = +20/3 m
Power of lens, P = 1/f = +1.5D