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NEET PHYSICSEasy

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

A

0°

B

30°

C

60°

D

90°

Step-by-Step Solution

  1. Brewster's Law: When light is incident at Brewster's angle (ipi_p), the reflected light is completely polarised. The relationship between the refractive index (μ\mu) and Brewster's angle is given by tan⁡ip=μ\tan i_p = \mu.
  2. Calculate Incidence Angle: Given μ=3\mu = \sqrt{3}. tan⁡ip=3\tan i_p = \sqrt{3} ip=60∘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, ip+r=90∘i_p + r = 90^\circ.
  4. Calculate Refraction Angle: r=90∘−ipr = 90^\circ - i_p r=90∘−60∘=30∘r = 90^\circ - 60^\circ = 30^\circ
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