A mixture of plane-polarized and unpolarized | vedclass

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

Question

(A) Let $I_P$ be the intensity of the plane-polarized light and $I_0$ be the intensity of the unpolarized light.When the polarizing sheet is rotated,t

Vedclass · Accepted Answer

$3/2$

Vedclass · Answer

(A) Let $I_P$ be the intensity of the plane-polarized light and $I_0$ be the intensity of the unpolarized light.When the polarizing sheet is rotated,the transmitted intensity $I$ is given by $I = I_P \cos^2 	heta + \frac{I_0}{2}$,where $	heta$ is the angle between the polarization direction of the incident polarized light and the transmission axis of the sheet.The maximum intensity occurs at $	heta = 0^{\circ}$,so $I_{\max} = I_P + \frac{I_0}{2}$.The minimum intensity occurs at $	heta = 90^{\circ}$,so $I_{\min} = \frac{I_0}{2}$.Given that the ratio $I_{\max} / I_{\min} = 4$,we have $\frac{I_P + I_0/2}{I_0/2} = 4$.This simplifies to $\frac{I_P}{I_0/2} + 1 = 4$,which means $\frac{2I_P}{I_0} = 3$.Therefore,the ratio $\frac{I_P}{I_0} = \frac{3}{2}$.

Similar Questions

When an unpolarized light of intensity $I_0$ is incident on a polarizing sheet,the intensity of light which does not get transmitted is

Two polarizers are placed such that the angle between their transmission axes is $60^o$. If unpolarised light of intensity $I_0$ is incident on the first polarizer,then the transmitted intensity from the second polarizer will be

Statement-$1$: The blue part of the sky is clearly visible through a calcite crystal. The intensity of the transmitted light changes as the crystal is rotated.
Statement-$2$: Light from the sky is due to the scattering of sunlight by particles in the atmosphere.

Unpolarised light of intensity $I_0$ is incident on a polarizer. What is the percentage of the intensity of light that gets transmitted from the polarizer (in $\%$)?

The angle between the polarizer and the analyzer is $45^o$. The percentage of polarized light passing through the analyzer is........$\%$

Vedclass Test Series

Exam Paper Generator

Online Exam Module