JEE MAIN - Physics (2022 - 29th July Evening Shift - No. 9)
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 an angle of $$30^{\circ}$$ relative to that of P. The intensity of the emergent light is
$$\frac{\mathrm{I}_{0}}{4}$$
$$\frac{\mathrm{I}_{0}}{2}$$
$$\frac{3 I_{0}}{4}$$
$$\frac{3 \mathrm{I}_{0}}{2}$$
Explanation
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$\mathrm{I}_1=\frac{1}{2}\left(2 \mathrm{I}_0\right)=\mathrm{I}_0$
$\mathrm{I}_2=\mathrm{I}_1 \cos ^2 30^{\circ}$
$=\mathrm{I}_0 \cdot \frac{3}{4}=\frac{3 \mathrm{I}_0}{4}$
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