Dez pours carbon tetrachloride (n = 1.46)into a container made of crown glass (n = 1.52).The light ray in glass incident on the glass-to-liquid boundary makes an angle of 24.0° with the normal.Find the angle of the corresponding refracted ray.
A)23.0°
B)0.437°
C)25.1°
D)60.4°
E)24.0°

Question

Quizplus · Accepted Answer

Using Snell's law:
n1*sin(theta1) = n2*sin(theta2)
where n1 and theta1 are the refractive index and angle of incidence in the first medium (crown glass) and n2 and theta2 are the refractive index and angle of refraction in the second medium (carbon tetrachloride).
Rearranging the equation:
sin(theta2) = (n1/n2)*sin(theta1)
sin(theta2) = (1.52/1.46)*sin(24.0°)
sin(theta2) = 1.0411
Since the sine of an angle cannot be greater than 1, we know that the incident angle is greater than the critical angle (theta_c = arcsin(n2/n1)).
Using the inverse sine function:
theta_c = arcsin(n2/n1) = arcsin(1.46/1.52) = 83.3°
Therefore, the light undergoes total internal reflection and there is no refracted ray. The answer is not A, B, D or E. The correct answer is C because none of the other answers are correct.

Dez Pours Carbon Tetrachloride (N = 1