If an unpolarised light is incident on a plane surface of refractive index √3 at Brewster's angle, then the an

Question

If an unpolarised light is incident on a plane surface of refractive index √3 at Brewster's angle, then the angle of refraction is:

Accepted Answer

1. **Brewster's Law:** When light is incident at Brewster's angle ($i_p$), the reflected light is completely polarised. The relationship between the refractive index ($\mu$) and Brewster's angle is given by $	an i_p = \mu$.
2. **Calculate Incidence Angle:** Given $\mu = \sqrt{3}$.
   $$ 	an i_p = \sqrt{3} $$
   $$ i_p = 60^\circ $$
3. **Relation between Incidence and Refraction:** At Brewster's angle, the reflected ray and the refracted ray are perpendicular to each other. Therefore, $i_p + r = 90^\circ$.
4. **Calculate Refraction Angle:**
   $$ r = 90^\circ - i_p $$
   $$ r = 90^\circ - 60^\circ = 30^\circ $$

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