Question

A light ray falls on one of the faces of aprism at an angle 40°so that it suffers angle of minimum deviation of 30°Find the angle of prism and angle of refraction at the given surface.

Answer 1

Given angle of incidenc

Answer 2

Answer:

$50^o\ and\ 25^o$

Explanation:

Let's consider angle of refraction be "r" and angle of  prism be "a".

Given,

$\textrm{angle\ of\ incidence,i\ }=\ 40^o$

$\txtrm{angle\ of\ minimum\ deviation,d\ }=\ 30^o$

by using the formula,

angle of prism + angle of deviation= 2. angle of incidence

=> a + d=2.i

=>a= 2i-d

=>a=2 x 40 - 30

=> a = 50

now, angle of refraction is given by,

$r\ =\ \dfrac{a}{2}$

$=>\ r\ =\ \dfrac{50}{2}$

$=>\ r\ =\ 25^o$

Hence, angle of prism is 50 and angle of refraction is 25.