If a ray of light is incident on a plate inside water at an angle of `45^(@)`, what is the angle of refraction inside the plate? Given that the absolute refractive indices of the plate and water are 1.88 and 1.33 respectively.

Explanation

Let the angle of refraction of the plate be r.
`Here, " " w^(mu)g = (sini)/(sinr) or,(mu_(g))/(mu_(w)) = (sini)/(sinr)`
`(1.88)/(1.33) = (sin45^(@))/(sinr) ["given" mu_(g) = 1.88, mu_(w) = 1.33]`
`sinr = (1)/(sqrt(2)) xx (1.33)/(1.88) = 0.5 = (1)/(2) = sin 30^(@)`
`r = 30^(@)`