A ray of light is incident on a surface of glass slab at an angle 45^ . If the lateral shift produced per unit thickness is 1 3 ~m , the angle of refraction produced is

Step-by-step solution

Here, angle of incidence i=45^ Lateral shift ( d ) Thickness of glass slab (t) = 1 3 Lateral shift d = t r = t ( i - r ) r d t = ( i - r ) r or d t = i r - i r r or d t = 45^ r - 45^ r r = r - r 2 r or d t = 1 2 (1- r ) or 1 3 = 1 2 (1- r ) or r =1- 2 3 or ⁻¹ (1- 2 3 )