A prism ABC of angle `30^(@)` has its face AC silvered. A ray of light incident at an angle of `45^(@)` at the face AB retraces its path after refraction at face AB and reflection at face AC . The refractive index of the material of the prism is

Options

A. 1.5
B. `3// sqrt2`
C. `sqrt2`
D. `4//3`

Answer

C