The angle of incidence for light on a glass surface is 57.5 which incidentally also happens to be the polarising angle for that interface. Then find the angle between incident ray and refracted ray.

When a light is incident at polarizing angle, the reflected and refracted rays are perpendicular to each other. When ip is the angle of incidence and r is the angle of reflection, r' is the angle of refraction. Given, ip=57.5∘Let θ be the angle between the incident ray and the refracted ray. θ=ip+r+90∘=2ip+90∘=2×57.5∘+90∘=205∘∵ip=r