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Question

Physics Question on Ray optics and optical instruments

A person cannot see objects clearly beyond 2.0 m. The power of lens required to correct his vision will be :

A

0.5 D-\,0.5\text{ }D

B

+1.0 D+\,1.0\text{ }D

C

1.0D-\,1.0\,D

D

+2.0D+\,2.0\,D

Answer

0.5 D-\,0.5\text{ }D

Explanation

Solution

When the image of the object which is at infinity, it should be formed at 2 m So, 1v1u=1f\frac{1}{v}-\frac{1}{u}=\frac{1}{f} or 1f=121\frac{1}{f}=\frac{1}{-2}-\frac{1}{-\,\infty } f=2mf=-\,2m Now the power of lens P=1f=12=0.5DP=\frac{1}{f}=\frac{1}{-\,2}=-\,0.5\,D