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CUET · PHYSICS · PYQ PAPER 2025

An electric dipole of length 2 cm is placed at an angle of \(30^\circ\) with an electric field \(3 \times 10^5 \text{ N C}^{-1}\). If the dipole experiences a torque of \(9 \times 10^{-3} \text{ N m}\), the magnitude of either charge of the dipole is

  1. A \(3 \mu C\)
  2. B 3 mC
  3. C \(6 \mu C\)
  4. D \(6 \ mC\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3 \mu C\)

Step-by-step Solution

Detailed explanation

\(\tau = q(2l)E \sin\theta\) \(q = \frac{\tau}{(2l)E \sin\theta}\) \(q = \frac{9 \times 10^{-3}}{(0.02)(3 \times 10^5) \sin(30^\circ)}\) \(q = \frac{9 \times 10^{-3}}{(0.02)(3 \times 10^5)(0.5)}\) \(q = \frac{9 \times 10^{-3}}{3 \times 10^3}\) \(q = 3 \times 10^{-6} \text{ C}\)…
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