Wave Optics Question 4

Question 4 - 29 January - Shift 1

As shown in figures, three identical polaroids $P_1$, $P_2$ and $P_3$ are placed one after another. The pass axis of $P_2$ and $P_3$ are inclined at angle of $60^{\circ}$ and $90^{\circ}$ with respect to axis of $P_1$. The source $S$ has an intensity of $256 \frac{W}{m^{2}}$. The intensity of light at point $O$ is $—–\frac{W}{m^{2}}$.

$P_1$

$P_2$

Show Answer

Answer: (24)

Solution:

Formula: YDSE

By first polaroid P1 intensity will be halved then

P2 and P3 will make intensity $\cos ^{2}(60^{\circ})$ and

$\cos ^{2}(30^{\circ})$ times respectively.

Intensity out $=\frac{256}{2} \times \frac{1}{4} \times(\frac{\sqrt{3}}{2})^{2}=\frac{256 \times 3}{2 \times 4 \times 4}=\mathbf{2 4}$