Unpolarized light falls on two polarizing sheets placed one... | Physics | SolveeIt | Solveeit

Today, August 24

Question

Unpolarized light falls on two polarizing sheets placed one on top of other. If the intensity of transmitted light is one fourth of the incident light, the angle between them is

A

$30^{\circ}$

B

$40^{\circ}$

C

$45^{\circ}$

D

$60^{\circ}$

Answer

$60^{\circ}$

Explanation

Solution

From law of Malus $I=I_{0} \cos ^{2} \theta$
Given, $I=\frac{I_{0}}{4}$
$\frac{1}{4}=\cos ^{2} \theta$
$\Rightarrow \cos \theta=\frac{1}{2}$
$\Rightarrow \theta=60^{\circ}$