An unpolarized beam of light travelling in a transparent dense medium of refractive index 3 is incident on its interface with air at Brewster's angle. Which of the following statements is correct regarding the reflected and refracted light?

Step-by-step solution

For light travelling from a dense medium of refractive index n₁ to a rarer medium of refractive index n₂ , Brewster's angle _B is given by: _B = n₂ n₁ Given n₁ = 3 and n₂ = 1 (air), we have: _B = 1 3 _B = 30^ At Brewster's angle, the reflected light is completely polarized perpendicular to the plane of incidence. The angle of incidence is i = _B = 30^ . By the law of reflection, the angle of reflection is also 30^ . To find the angle of refraction r , we use Snell's law: n₁ i = n₂ r 3 30^ = 1 r 3 ( 1 2 ) = r r = 3