Question

A beam of unpolarized light of intensity $I_0$ is passed through a polaroid $A$ and then through another polaroid $B$ which is oriented so that its principal plane makes an angle of 45$^{\circ}$ relative to that of $A$. The intensity of the emergent light is

• A. $I_0$
• B. \(\frac{I_0}{2}\)
• C. \(\frac{I_0}{4}\)
• D. \(\frac{I_0}{8}\)

Answer 1

The Correct Option is C

Relation between intensities is \(I_R=\big(\frac{I_0}{2}\big)cos^2 (45^\circ)\)

\(=\frac{I_0}{2} \times \frac{1}{2}=\frac{I_0}{4}\)

Therefore, The correct answer is (C) : \(\frac{I_0}{4}\)