A ray of light incident from air on a glass plate of refractive index n is partly reflected and partly refracted at the two surfaces of the glass. The displacement `y_(0)` in the figure is

Options

A. `(2dsintheta)/(sqrt(n^(2)-sin^(2)theta`
B. `(2dsintheta)/(sqrt(sin^(2)theta-(1)/(n^(2)`
C. `2dsqrt(n^(2)-sin^(2)theta)/(sintheta)`
D. None of these

Answer

A

Explanation

`theta = theta`
`(y_(0))/(2)=d tan r " " ((sin theta )/(sin r))=n`

`y_(0)=2d ((sin theta)/sqrt(n^(2)-sin^(2) theta))`