A glass hemisphere of radius R and of material having refractive index 1.5 is silvered on its flat face as shown in figure., A small object of height h is located at a distance 2R from the surface of hemisphere as shown in the figure. The final image will form.

Options

A. at a distance of Rfrom silvered surface, on the right side.
B. on the object itself
C. at hemispher surface
D. at a distance of 2R from the silvered surface, on left side

Answer

b.

Explanation

Here, three optical phenomena tak place-first refraction, then reflection, and finally refraction.
For `1^(st)` refraction, `(1.5)/(v)-(1)/(-2R)=(1.5-1)/(R)`
`(1.5)/(v)=0rArrvoo0`
i.e., rays after refraction get parallel to the axis and strike the mirror normally, getretraced back, and final image is formed at the same place where the object is and of same size. Image would be real.