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  • Unpolarised light of intensity  passes through the combination of three

Unpolarised light of intensity 32 \mathrm{Wm}^{-2} passes through the combination of three polaroids such that the pass axis of the last polaroid is perpendicular to that of the pass axis of first polaroid. If the intensity of emerging light is 32 \mathrm{Wm}^{-2} then the angle (in degrees) between pass axis of first two polaroids is _______

.

Option: 1

30


Option: 2

60


Option: 3

Both of these


Option: 4

none of these


Answers (1)

best_answer


\begin{array}{ll} \mathrm{I}_{\mathrm{net}}=3=\frac{32}{8}(\sin 2 \theta)^2 & =\frac{\mathrm{I}_0}{2} \cos ^2 \theta \sin ^2 \theta \\ \operatorname{Sin}(2 \theta)=\frac{\sqrt{3}}{2} \Rightarrow 2 \theta=60 \& 120^{\circ} & =\frac{I_0}{8}(\sin 2 \theta)^2 \\ \theta=30^{\circ} \text { \& } 60^{\circ} & \end{array}

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vinayak

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