An unpolarised light beam of intensity 2I₀ is passed through a polaroid P and then through another polaroid Q which is oriented in such a way that its passing axis makes an angle of 30° relative to that of P. The intensity of the emergent light is

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$\frac{I_{0}}{4}$

$\frac{3 I_{0}}{2}$

$\frac{3 I_{0}}{4}$

$\frac{I_{0}}{2}$

answer is C.

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Detailed Solution

$\begin{matrix} I_{1} = \frac{1}{2} (2 I_{0}) = I_{0} \\ I_{2} = I_{1} \cos^{2} 30^{\circ} \\ = I_{0} \cdot \frac{3}{4} = \frac{3 I_{0}}{4} \end{matrix}$

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