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CUET · PHYSICS · PYQ PAPER 2025

A bar magnet held perpendicular to a uniform magnetic field experiences a torque \( T_1 \). By what angle should it be rotated to change the experienced torque to \( 0.5T_1 \)?

  1. A \( \pi/6 \)
  2. B \( \pi/4 \)
  3. C \( \pi/3 \)
  4. D \( \pi/2 \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( \pi/3 \)

Step-by-step Solution

Detailed explanation

\( T_1 = MB \sin(\pi/2) = MB \) \( 0.5 T_1 = MB \sin\theta_2 \) \( 0.5 MB = MB \sin\theta_2 \implies \sin\theta_2 = 0.5 \implies \theta_2 = \pi/6 \) \( \text{Angle rotated} = |\theta_1 - \theta_2| = |\pi/2 - \pi/6| = |3\pi/6 - \pi/6| = 2\pi/6 = \pi/3 \)
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