A ray of light incident at an angle \(\theta\) in a rectangular prism grazes the surface of the prism on emerging from the prism. Determine the value of the angle. [Absolute refractive index of the material of the prism is 1.5]
A
41.8°
B
48.2°
C
60.8°
D
90.0°
Verified Correct Answer: A.
Physical Principles & Numerical Solution
\(\eta = \frac{1}{sin\theta}\)
\(1.5 = \frac{1}{sin\theta}\)
\(sin\theta = \frac{1}{1.5} = 0.667\)
\(\theta = sin^{-1}(0.667) = 41.835^\circ\)
\(\approxeq 41.8^\circ\)
Source: Myschool Past Questions Archive (Record #50018)