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Q.

The radius of curvature of the curved surface of a plano-convex lens is 20 cm. If the refractive index of the material of the lens be 1.5, it will

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a

act as a concave lens for the objects that lie on its curved side.

b

act as a convex lens only for the objects that lie on its curved side.

c

act as a convex lens irrespective of the side on which the object lies.

d

act as a concave lens irrespective of side on which the object lies.

answer is C.

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Detailed Solution

As we know the relations between f,μ,R1 and R2 is known as lens maker's formula :
1f=(μ1)1R11R2R1=,R2=Rf=R(μ1)
Given that'
R=20 cm,
μ=1.5
Put the values;
f=Rμ1=20151=40cm
As f>0,  it means converging nature of the lens.
So, lens act as a convex lens irrespective of the side on which the object lies.

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