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A plano-convex lens P and a concavo-conv...

A plano-convex lens P and a concavo-convex lens Q are in contact as shown in figure. The refractive index o fthe material of the lens P and Q is `1.8 and 1.2` respectively. The radius of curvature of the concave surface of the lens Q is double the radius of curvature of the convex surface. The convex surface of Q is silvered.

An object is placed on the placed on the principal axis at a distance `10 cm` form the plane surface. The image is formed at a distance `40 cm` from the plane surfaces on the same side. The focal length of the system is

A

`-8 cm`

B

`8 cm`

C

`-40/3 cm`

D

`40/3 cm`

Text Solution

Verified by Experts

The correct Answer is:
A

Using the mirror formula,
`1/f=1/v+1/u=1/(-40)-1/10`
Solving we get, `f=-8 cm`
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