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  4. A beam of unpolarized light of intensity I0 is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of 45° relative to that of A. The intensity of the emergent light is

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Q. A beam of unpolarized light of intensity $I_0$ is passed through a polaroid $A$ and then through another polaroid $B$ which is oriented so that its principal plane makes an angle of 45$^{\circ}$ relative to that of $A$. The intensity of the emergent light is

JEE MainJEE Main 2013Wave Optics

Solution:

Relation between intensities is
$ \, \, \, \, I_R=\big(\frac{I_0}{2}\big)cos^2 (45^\circ)=\frac{I_0}{2} \times \frac{1}{2}=\frac{I_0}{4}$

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