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An unpolarised light beam of intensity $2 I_{0}$ is passed through a Polaroid P and then through another polaroid Q which is oriented in such a way that its passing axis makes angle of $30^{0}$ relative to that of P. If the intensity of the emergent light is $\frac{n I_{o}}{4}$ then the value of n is

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answer is 3.

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Detailed Solution

The intensity of the light given by, $I = I_{0} \cos^{2} θ$
$I_{1} = \frac{1}{2} (2 I_{0}) \cos^{2} 0 = I_{0}$
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Hence, the intensity of the emergent light is $\frac{3 I_{0}}{4}$

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