Three identical polaroids P_1, P_2 and P_3 ar | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) According to Malus' law,the intensity of light transmitted through a polarizer is $I = I_{in} \cos^2 	heta$,where $	heta$ is the angle between t

Vedclass · Accepted Answer

$\frac{3 I_0}{32}$

Vedclass · Answer

(C) According to Malus' law,the intensity of light transmitted through a polarizer is $I = I_{in} \cos^2 	heta$,where $	heta$ is the angle between the polarization direction of incident light and the pass axis of the polarizer.$1$. When unpolarized light of intensity $I_0$ passes through the first polaroid $P_1$,the intensity of the transmitted light is $I_1 = \frac{I_0}{2}$.$2$. The light from $P_1$ is now polarized at an angle $0^{\circ}$ relative to $P_1$'s axis. $P_2$ is at $60^{\circ}$ to $P_1$. Thus,the intensity after $P_2$ is:$I_2 = I_1 \cos^2(60^{\circ}) = \frac{I_0}{2} 	imes (0.5)^2 = \frac{I_0}{2} 	imes \frac{1}{4} = \frac{I_0}{8}$.$3$. The light from $P_2$ is polarized at $60^{\circ}$ relative to $P_1$. $P_3$ is at $90^{\circ}$ relative to $P_1$. The angle between the polarization of light from $P_2$ and the pass axis of $P_3$ is $	heta = 90^{\circ} - 60^{\circ} = 30^{\circ}$.$4$. The intensity after $P_3$ is:$I_3 = I_2 \cos^2(30^{\circ}) = \frac{I_0}{8} 	imes \left(\frac{\sqrt{3}}{2}ight)^2 = \frac{I_0}{8} 	imes \frac{3}{4} = \frac{3 I_0}{32}$.

Similar Questions

$A$ polarizer and an analyzer are placed such that the intensity of the transmitted light is maximum. If the analyzer is rotated by $60^{\circ}$,find the intensity of the transmitted light.

When an unpolarized light of intensity $I_o$ is incident on a polarizing sheet,the intensity of the light which does not get transmitted is

Discuss the intensity of transmitted light when a polaroid sheet is rotated between two crossed polaroids.

The angle between the principal planes of two Nicol prisms is $60^o$. What percentage of the incident unpolarized light will be transmitted through this system?

Vedclass Test Series

Exam Paper Generator

Online Exam Module