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Q.

[28]

A person cannot see objects kept at 2 m distinctly. The defect can be corrected by using a lens of the Power _________. 


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a

+0.5 D

b

+0.2 D

c

-0.5 D

d

-0.2 D 

answer is C.

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Detailed Solution

A person cannot see the objects kept beyond 2 m distinctly. This defect can be corrected by using a lens of power -0.5 D.
The far point of a typical eye is infinity. The defective eye's far point is given as 2 m. The eye is short-sighted. To correct this defect, one should bring the object from infinity to 200 cm. (as 1 m =100 cm)
From the data given, u= -, v= -200 cm f=?
Substituting in lens formula, 1f= 1v- 1u
where u= the distance between the object and the pole of the mirror,
 v=  the distance between the image and the pole of the mirror,
 f= focal length
We get,
 1f= 1(-200)- 1(-)
1f= 1(-200)+ 0 (as 1/∞ = 0)
f= -200 cm
We know that
Power of the lens=100(in cm) 
P=100-200 P=-0.5 D
 
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