`lamda_a` and `lamda_m` are the wavelengths of light in air and medium respectively. If `i_p` is the polarising angle, the correct relation between `lamda_(a), lamda_m ` and `i_p` is

Options

A. `lamda_(a)=lamda_(m) tan^(2) theta`
B. `lamda_(m)=lamda_(a) tan^(2) theta`
C. `lamda_(a)=lamda_(m) cot theta`
D. `lamda_(m)=lamda_(a)cot theta`

Answer

D

Explanation

We know `lamda_(m)=(lamda_(g))/(mu)` and `mu=tantheta`
`:. Lamda_(m)=(lamda_(g))/(tan theta)=lamda_(a)cot theta`