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Q.

A newspaper placed nearer than 50 cm cannot be read by a person. What will be the power of the corrective lens required?

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a

0.25 D

b

+2.5 D

c

+2 D

d

0.5 D 

answer is C.

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Detailed Solution

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Here, u = - 25 cm, v = -50 cm

Using lens formula, 

      1f= 1v-1u

           =  -150+125

           1f= 150
Focal length f=50 cm
It is known that the power of a lens is the reciprocal of the focal length of the lens. Mathematically, 
P=1f
Where f is the focal length of the lens in meters.(f=50/100 m)
On substituting the given values, we get the power as
P=10050
P=2 D
Hence, the power of the lens required is 2 D.
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