Solution:
Intensity after polaroid \(A\) is \(I_1 = frac{I_0}{2}\). Using Malus's Law, the intensity after analyser \(B\) is \(I_2 = I_1 \cos^2 30^\circ = frac{I_0}{2} \left(\frac{\sqrt{3}}{2}\right)^2 = frac{3I_0}{8}\).
Intensity after polaroid \(A\) is \(I_1 = frac{I_0}{2}\). Using Malus's Law, the intensity after analyser \(B\) is \(I_2 = I_1 \cos^2 30^\circ = frac{I_0}{2} \left(\frac{\sqrt{3}}{2}\right)^2 = frac{3I_0}{8}\).
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