RRB Technician 2013 Ques 6

Question: The plane surface of a plano-convex lens is silvered. Focal length of lens is f. After silvering, it will behave as

Options:

A) plane mirror

B) convex mirror of focal length 2f

C) concave mirror of focal length $ \frac{f}{2} $

D) None of the above

Show Answer

Answer:

Correct Answer: C

Solution:

  • When plane surface of a plano-convex lens is silvered, it behaves like a concave mirror. Radius of curvature of concave mirror so formed becomes equal to focal length of plano-convex lens.
    $ \therefore $ f of mirror $ =\frac{1}{2}\times $ Focal length of lens Focal length of mirror $ =\frac{f}{2} $