A ray of light is incident on the surface of a glass plate of reflective index `1.536` such that the reflected and refracted rays are mutually perpendicular. What is the angle of reflection ?

Answer

`33.1^(@)`

Explanation

Here, `mu = 1.536`. When reflected and refracted rays are mutually perpendicular, `i = i_(p)`, where `tan i_(p) = mu = 1.536`
`:. i_(p) = tan^(-1) (1.536) = 56.9^(@)`
`r = 90^(@) - i_(p) = 90 - 56.9^(@) = 33.1^(@)`