Question

Light is incident on a glass surface at polarizing angle of 57.5⁰.Then the angle between the incident ray and the refracted ray is :

• A. 57.5⁰
• B. 115⁰
• C. 205⁰
• D. 145⁰

Answer 1

Answer: (C)

205⁰

Answer 2

When a light is incident at polarizing angle, the reflected and refracted rays are perpendicular to each other as shown in the figure.

Where $i_{p}$is the angle of incidence and r is the angle of reflection. $r'$ is the angle of refraction.

Given $i_{p} = 57.5º$

Let $\theta$ be the angle between the incident ray and the refracted ray.

From figure

$\theta = i_{p} + r + 90º = 2i_{p} + 90º$

$= 2 \times 57.5º + 90º = 205º$ $\lbrack\because i_{p} = r\rbrack$