Two polaroids are oriented with their planes | vedclass

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(A) Let the intensity of the incident unpolarised light be $I_{0}$.When unpolarised light passes through the first polaroid,the intensity of the trans

Vedclass · Accepted Answer

$37.5$

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(A) Let the intensity of the incident unpolarised light be $I_{0}$.When unpolarised light passes through the first polaroid,the intensity of the transmitted light becomes $I_{1} = \frac{I_{0}}{2}$.Now,this polarised light passes through the second polaroid whose transmission axis makes an angle $	heta = 30^{\circ}$ with the first one.According to Malus's Law,the intensity of light transmitted through the second polaroid is $I_{R} = I_{1} \cos^{2} 	heta$.Substituting the values,we get $I_{R} = \frac{I_{0}}{2} \cos^{2} 30^{\circ}$.Since $\cos 30^{\circ} = \frac{\sqrt{3}}{2}$,we have $\cos^{2} 30^{\circ} = \frac{3}{4}$.Therefore,$I_{R} = \frac{I_{0}}{2} 	imes \frac{3}{4} = \frac{3}{8} I_{0}$.The fraction of incident light transmitted is $\frac{I_{R}}{I_{0}} = \frac{3}{8}$.To express this as a percentage,$\frac{3}{8} 	imes 100 = 37.5 \%$.

Two polaroids are oriented with their planes perpendicular to incident light and their transmission axes making an angle of $30^{\circ}$ with each other. What fraction of the incident unpolarised light is transmitted? (Express as a percentage)

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