Wave Optics - Result Question 25
27. Two Polaroids $P_1$ and $P_2$ are placed with their axis perpendicular to each other. Unpolarised light $I_0$ is incident on $P_1$. A third polaroid $P_3$ is kept in between $P_1$ and $P_2$ such that its axis makes an angle $45^{\circ}$ with that of $P_1$. The intensity of transmitted light through $P_2$ is
[2017]
(a) $\frac{I_0}{4}$
(b) $\frac{I_0}{8}$
(c) $\frac{I_0}{16}$
(d) $\frac{I_0}{2}$
Show Answer
Answer:
Correct Answer: 27. (b)
Solution:
(b)
According to Malus law, $I=I_0 \cos ^{2} \theta$
$I_1=\frac{I_0}{2}$
$I_2=\frac{I_0}{2} \cos ^{2} 45^{\circ}=\frac{I_0}{2} \times \frac{1}{2}=\frac{I_0}{4}$
$I_3=\frac{I_0}{4} \cos ^{2} 45^{\circ}=\frac{I_0}{8}$
