A ray of light traveling from glass into ethyl alcohol is incident at the boundary at an angle of incidence 30\(^o\). Calculate the angle of refraction.

[Refractive index of glass =1.5; refractive index of ethyl alcohol = 1.36]
 

A.

27\(^o\)

B.

33.5\(^o\)

C.

51.7\(^o\)

D.

72.8\(^o\)

Correct answer is B

The angle of incidence l = 30º
The angle of refraction , r =?
The refractive index of glass ng = 1.5
The refractive index of ethyl alcohol, ne = 1.36
from snell's law :

\(\frac{n_e}{n_g} = \frac{sini}{sinr}\)

\(\frac{1.36}{1.5} = \frac{sin30º}{sinr}\)

1.36sinr = 1.5 x sin30º

sinr =  \(\frac{1.5 \times sin30º}{1.36}\)

sinr = 0.5515

r = \(sin^{-1}\)(0.5515)

r = 33.5º