A beam of light is incident from air to water at an angle of 30\(^o\). Find the angle of refraction if the refractive index of water is 4/3

A.

15\(^o\)

B.

18\(^o\)

C.

22\(^o\)

D.

24\(^o\)

Correct answer is C

X = \(\frac{4}{3}\) r = ?

  Shell’s law:.  = \(\frac{Sin i^0}{ Sin r^0}\)

  = \(\frac{Sin 30^0}{Sin r^0}\)

  Sin\(r^0\) = \(\frac{3 Sin 30^0}{4}\)

  Sin \(r^0\) = 0.375

  R \(^o\) = Sin-1 (0.375)

  R \(^o\) = 22.02 \(^o\)

  R \(^o\) = 22 \(^o\)