Shown in the figure is a prism of angle `30^(@)` and refractive index `mu_(p)=sqrt(3)`. Face AC of the prism is covered with a thin film of refractive index `mu_(f)=2.2 ` A monochromatic light of wavelength `lambda` =550 nm fall on the face AB at an angle of incidence of `60^(@)` Calculate angle of emergence

Options

A. `0^(@)`
B. `30^(@)`
C. `45^(@)`
D. Not emerge

Answer

1

Explanation

"From snell's on AB"
`sin 60^(@) =musinr_(1)rArr(sqrt(3))/(2) = sqrt(3) sin r_(1) or r_(1) = 30 ^(@)`
`therefore r_(2)=A-r_(1)=0`
"therefore ray incident normally on AC and passes normally"