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  4. A transparent thin plate of a polaroid is placed on another similar plate such that the angle between their axes is 30° The intensities of the emergent and the unpolarised incident light will be in the ratio of

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Q. A transparent thin plate of a polaroid is placed on another similar plate such that the angle between their axes is $30^{\circ}$ The intensities of the emergent and the unpolarised incident light will be in the ratio of

AMUAMU 2011Wave Optics

Solution:

$\frac{I}{I_{0} / 2}=\cos ^{2} \theta$
$\frac{I}{I_{0} / 2}=\cos ^{2} 30^{\circ}=\left(\frac{\sqrt{3}}{2}\right)^{2}=\frac{3}{4}$
$\frac{I}{I_{0}}=\frac{3}{8}$