Home
Class 12
PHYSICS
Find the focal length of equivalent mirr...

Find the focal length of equivalent mirror if concave surface of a plano concave lens is silvered. Radius of curvature of concave surface is R and refractive index of material of prism is `mu`.

Text Solution

Verified by Experts

`(1)/(f_(r)) = (mu - 1) ((1)/(oo) - (1)/(R)) = (mu - 1) ((1)/(R))`
`(1)/(f_(m)) = - (2)/(R)`
So, focal length of equivalent mirror (F) is
`(1)/(F) = (-2)/(f_(t)) + (1)/(f_(m))`
`= (2(1-mu))/(R).(-2)/(R)`
`= (-2mu)/(R)`
`rArr F = (-R)/(2 mu)`
System behaves as a converging (concave) mirror.
Promotional Banner

Similar Questions

Explore conceptually related problems

The convex surface of a plano-convex lens is silvered and the radius of curvature of this surface is R. Find the focal length of the system:

The focal length of an equiconvex lens is equal to radius of curvature of either surface. What is the refractive index of the material of the prism ?

A biconvex lens has a focal length half the radius of curvature of either surface. What is the refractive index of lens material ?

The plane surface of a planoconvex lens is silvered. If radius of curved surface is R and refractive index is mu , then the system behaves like a concave mirror whose radius will be

For a plano convex lens, the radius of curvature of convex surface is 10 cm and the focal length is 30 cm. The refractive index of the material of the lens is

The focal length of a plano-convex lens is equal to its radius of curvature. The value of the refractive index of its material is

If the plane surface of a plano-convex lens of radius of curvature R and refractive index mu is silvered, then its focal length would be

Find the focal length of plano-convex lens of material having refractive index of 1.5. Radius of curvature of convex surface is 10 cm.

The plane surface of a plano-convex lens of refracting index 1.5, is silvered. The radius of curvature of curved surface is R. Find the focal length of the mirror thus formed.

Consider an equiconvex lens of radius of curvature R and focal length f. If fgtR , the refractive index mu of the material of the lens