The critical angle between a given transparaent medium and air is denoted by `C`. A ray of light in air enters this transparent medium at an angle of incidence equal to polarizing angle `p`. Deduce a relation for the angle of refraction in terms of `C`.
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According to Brewster's law, `mu = tan p` …(i) Also, `mu = (1)/(sin C)` …(ii) From (i) and (ii), `tan p = (1)/(sin C)`. If `r` is angle of refraction, then `p = 90^(@) - r` `:. Tan (90^(@) - r) = cos r = (1)/(tan r) = (1)/(sin C)` or `tan r = sin C :. r = tan^(-1)(sin C)`
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