With respect to air critical angle in a medium for light of red colour `[lambda_(1)]` is `theta`. Other facts remaining same, critical angle for light of yellow colour `[lambda_(2)]` will be

Options

A. `theta`
B. More than `theta`
C. Less than `theta`
D. `(thetalambda_(1))/(lambda_(2))`

Answer

C

Explanation

Critical angle `=sin^(-1)((1)/(mu))`
`:. theta=sin^(-1)((1)/(mu_(lambda_(1))))` and `theta^(')=sin^(-1)((1)/(mu_(lambda_(2))))`
Since `mu_(lambda_(2)) gt mu _(lambda_(1))`, hence `theta^(') lt theta`