Question

A concave mirror of radius RR is kept on a horizontal table (figure18−E2). Water (refractiveindex=p) is poured into it upto a height h. Where should an object be placed so that its image is formed on itself ?

Answer 1

Let the object be placed at a height x above the surface of water.

The apparent position of the object with respect to mirror should be at the center of curvature so that the image is formed at the same position.

Since

Real depth / Apparent depth=  1/ μ

x/R-h = 1/μ

x= R-h/μ

Answer 2

x=hR is the answer..