One face of a prism with a refractive angle of `30^@` is coated with silver. A ray of light incident on another face at an angle of `45^@` is refracted and reflected from the silver coated face and retraces its path. What is the refractive index of the prism?

Options

A. `sqrt2`
B. `3//sqrt2`
C. 1.5
D. 1.33

Answer

A

Explanation

(a) Given, `r_(2)=0,r_(1)=A=30^(@),and i_(1)=45^(@)`
`therefore` Refractive index, `mu=sini_(1)/sinr_(1)=sin45^(@)/sin30^(@)=(1//sqrt2)/(1//2)=sqrt2`