When unpolarized light is incident from air onto a transparent medium at Brewster's angle i_p , the reflected light is completely polarized. If the critical angle for total internal reflection for this medium-air interface is _c , which of the following relationships is correct?

Step-by-step solution

According to Brewster's law, the refractive index ( ) of the medium is related to Brewster's angle ( i_p ) by: = (i_p) For total internal reflection at the medium-air interface, the critical angle ( _c ) is related to the refractive index by: ( _c) = 1 Substituting the value of from Brewster's law into the critical angle formula, we get: ( _c) = 1 (i_p) ( _c) = (i_p) Answer: ( _c) = (i_p)