The light ray is incidence at angle of `60^(@)` on a prism of angle `45^(@)` . When the light ray falls on the other surface at `90^(@)` , the refractive index of the material of prism` mu` and the angle of devation `delta` are given by

Options

A. n= `sqrt(2), delta = 30^(@)`
B. n= 1.5 , `delta = 15^(@)`
C. `n = (sqrt(3))/(2), delta = 30^(@)`
D. `n = sqrt((3)/(2)), delta = 15^(@)`

Answer

D

Explanation

`e = 0 , r_(2) = 0 `
A = `r_(1) = 45^(@) `
n ` = (sin i)/(sin r) = (sin 60^(@))/(sin 45^(@)) = sqrt((3)/(2))`
`delta_(m) = i+ e - A = 60^(@) + 0^(@) - 45^(@) = 15^(@) `