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JEE PYQ: Wave Optics Question 31

Question 31 - 2019 (12 Apr Shift 2)

A system of three polarizers $P_1$, $P_2$, $P_3$ is set up such that the pass axis of $P_3$ is crossed with respect to that of $P_1$. The pass axis of $P_2$ is inclined at 60$°$ to the pass axis of $P_1$. When a beam of unpolarized light of intensity $I_0$ is incident on $P_1$, the intensity of light transmitted by the three polarizers is I. The ratio $(I_0/I)$ equals (nearly) :

(1) 5.33

(2) 16.00

(3) 10.67

(4) 1.80

Show Answer

Answer: (3)

Solution

$I = \left(\frac{I_0}{2}\right)\cos^2 30° \cos^2 60°$

$= \frac{I_0}{2} \times \frac{3}{4} \times \frac{1}{4}$

$\therefore \frac{I_0}{I} = \frac{32}{3} = 10.67$


Learning Progress: Step 31 of 38 in this series