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MHT CET · Physics · Electrostatics

An electric dipole of length 2 cm is placed with its axis making an angle of \(60^{\circ}\) to a uniform electric field of \(10^{+5} \mathrm{~N} / \mathrm{C}\). If it experiences a torque of \(9 \sqrt{3} \mathrm{Nm}\), the magnitude of the charge on the dipole is \(\left(\sin 60^{\circ}=\frac{\sqrt{3}}{2}\right)\)

  1. A \(7 \times 10^{-3} \mathrm{C}\)
  2. B \(8 \times 10^{-3} \mathrm{C}\)
  3. C \(9 \times 10^{-3} \mathrm{C}\)
  4. D \(\frac{9}{2} \times 10^{-3} \mathrm{C}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(9 \times 10^{-3} \mathrm{C}\)

Step-by-step Solution

Detailed explanation

\(\tau = p E \sin\theta = (q \cdot 2a) E \sin\theta\) \(q = \frac{\tau}{(2a) E \sin\theta}\)