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(B) When unpolarised light of intensity $I_0$ passes through the first polaroid,the intensity of the transmitted light is $I_1 = \frac{I_0}{2}$.The an

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$\frac{3 I_0}{32}$

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(B) When unpolarised light of intensity $I_0$ passes through the first polaroid,the intensity of the transmitted light is $I_1 = \frac{I_0}{2}$.The angle between the pass axes of the first and second polaroid is $	heta_{12} = 30^{\circ}$. According to Malus' Law,the intensity of light transmitted through the second polaroid is $I_2 = I_1 \cos^2(30^{\circ}) = \frac{I_0}{2} 	imes (\frac{\sqrt{3}}{2})^2 = \frac{I_0}{2} 	imes \frac{3}{4} = \frac{3 I_0}{8}$.The angle between the pass axes of the second and third polaroid is $	heta_{23} = 90^{\circ} - 30^{\circ} = 60^{\circ}$.According to Malus' Law,the intensity of light transmitted through the third polaroid is $I_3 = I_2 \cos^2(60^{\circ}) = \frac{3 I_0}{8} 	imes (\frac{1}{2})^2 = \frac{3 I_0}{8} 	imes \frac{1}{4} = \frac{3 I_0}{32}$.

$A$. Angle of reflection	$(i)$ $2 \sin^{-1} \left(\sqrt{\frac{2}{3}}\right)$
$B$. Angle of refraction	$(ii)$ $\sin^{-1} \left(\sqrt{\frac{2}{3}}\right) - \sin^{-1} \left(\frac{1}{\sqrt{3}}\right)$
$C$. Angle between incident and completely polarised light	$(iii)$ $\sin^{-1} \left(\frac{1}{\sqrt{3}}\right)$
$D$. Angle of deviation of the incident ray	$(iv)$ $\cos^{-1} \left(\frac{1}{\sqrt{3}}\right)$

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