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  4. An unpolarized light passes through three polarizing sheets whose polarizing directions make an angle of 30°, 60° and 30° with y axis in same sense. The fraction of initial intensity is transmitted by the system is (k/32). Find k.

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Q. An unpolarized light passes through three polarizing sheets whose polarizing directions make an angle of $30^{\circ}$, $60^{\circ}$ and $30^{\circ}$ with $y$ axis in same sense. The fraction of initial intensity is transmitted by the system is $\frac{k}{32}$. Find $k$.

Wave Optics

Solution:

$I =\frac{I_{0}}{2} \times \cos ^{2} 30^{\circ} \times \cos ^{2} 30^{\circ}$
$=\frac{9 I_{0}}{32}$