Answer:
a) θ = 65º , b) the light is refracted
Explanation:
When a ray of light passes from a material with a higher index to one with a lower index, the ray separates from the normal one, so there is an angle for which the ray is refracted at 90º, the refractive equation is
n₁ sin θ₁ = n₂
where θ₁ is the incident angle, n₂ and n₁ are the indexes of incident and refracted parts
let's calculate
sin θ = n₂ / n₁
sint θ = 1.3333 / 1.470
sin θ = 0.907
θ = sin⁻¹ 0.907
θ = 65º
For the incident angle of 50.2º it is less than the critical angle, so the light is refracted according to the refraction equation