Question

A ray incident at an angle 60 degrees enters a glass sphere of refractive index √3 and is reflected and refracted at the farther surface of the mirror. The angle between refracted and reflected Ray is

Answer 1

Hey dear,

● Answer -
θ = 90°

● Explanation -
# Given -
i = 60°
μ = √3


# Solution -
Using Snell's law,
μ = sini / sinr
√3 = sin60 / sinr
sinr = (√3/2) / √3
sinr = 1/2
Taking sin inverse,
r = 30°

Angle of reflection is same as angle of incidence -
r' = 60°

Angle between reflected and retracted ray is calculated by -
θ = 180 - (r + r')
θ = 180 - (30 + 60)
θ = 90°

Therefore, reflected ray and refracted rqy are perpendicular.

Hope this helped ...