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CUET · PHYSICS · PYQ PAPER 2023

Two polaroids \( P_1 \) and \( P_2 \) are set in crossed positions. A third polaroid \( P_3 \) is placed between the two making an angle \( \alpha \) with the axis passing from the first polaroid \( P_1 \). In what orientation will the transmitted intensity be maximum?

  1. A \( \frac{\pi}{2} \)
  2. B \( \frac{\pi}{3} \)
  3. C \( \frac{\pi}{4} \)
  4. D 0
Verified Solution

Answer & Solution

Correct Answer

(C) \( \frac{\pi}{4} \)

Step-by-step Solution

Detailed explanation

\( I_{final} = I_0 \cdot \frac{1}{2} \cdot \cos^2 \alpha \cdot \cos^2 \left( \frac{\pi}{2} - \alpha \right) \) \( I_{final} = \frac{I_0}{2} \cos^2 \alpha \sin^2 \alpha \) \( I_{final} = \frac{I_0}{8} (2 \sin \alpha \cos \alpha)^2 = \frac{I_0}{8} \sin^2(2\alpha) \) For maximum…
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