Two polaroide \(A\) and \(B\) are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid \(C\) is placed between \(A\) and \(B\) bisecting angle between them. If intensity of unpolarised light is \(I _0\) then intensity of transmitted light after passing through polaroid \(B\) will be :

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Correct Answer

(C) \(\frac{I_0}{8}\)

Step-by-step Solution

Detailed explanation

\(I _{ A }=\frac{ I _{ o }}{2}\)

\(I_C =\frac{ I _{\circ}}{2} \cos ^2 45=\frac{ I _{\circ}}{4}\)

\(I _{ B }= I _{ C } \cos ^2 45=\frac{ I _{\circ}}{8}\)

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