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The radius of curvature of the curved su...

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

A

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

B

act as a concave lens 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.

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `mu = 1.5`
If object lies on plane side , `R_1 = oo, R_2 = -2 cm`
`(1)/(f)=(mu - 1)((1)/(R_1) - (1)/(R_2)) = (1.5 - 1)((1)/(oo) + (1)/(20)) = (1)/(40)`
`f = + 40 cm`. The lens behaves asm convex.
If object lies on its curved side, `R_1 = 20 cm, R_2 = oo` , Fig. (b)
`(1)/(f')=(mu - 1)((1)/(R_1) - (1)/(R_2)) = (1.5 - 1)((1)/(20) - (1)/(oo)) = (1)/(40)`
`f' = 40 cm`.The lens behave as convex. Choice ( c) is correct.
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