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(C) Let the intensity of the unpolarised incident light be $I_0$.When unpolarised light passes through the first polaroid,the intensity of the transmi

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$8/3$

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(C) Let the intensity of the unpolarised incident light be $I_0$.When unpolarised light passes through the first polaroid,the intensity of the transmitted light becomes $I_1 = I_0 / 2$.When this polarised light passes through the second polaroid whose axis is inclined at an angle $	heta = 30^{\circ}$ to the first,the intensity of the emergent light $I'$ is given by Malus' Law: $I' = I_1 \cos^2 	heta$.Substituting the values: $I' = (I_0 / 2) \cos^2(30^{\circ}) = (I_0 / 2) (\sqrt{3} / 2)^2 = (I_0 / 2) (3 / 4) = 3 I_0 / 8$.The ratio of the intensity of the unpolarised incident light $(I_0)$ to the polarised emergent light $(I')$ is $I_0 / I' = I_0 / (3 I_0 / 8) = 8 / 3$.

Two polaroid sheets are placed one over the other with their axes inclined to each other at $30^{\circ}$. The ratio of the intensity of the unpolarised incident light and the polarised emergent light is

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