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COMEDK · Physics · 17. Electrostatics

Two electric dipoles of dipole moments \(3.9 \times 10^{-30} \mathrm{Cm}\) and \(5.2 \times 10^{-30} \mathrm{Cm}\) are placed in two different uniform electric fields of strengths \(16 \times 10^4 N C^{-1}\) and \(4 \times 10^4 N C^{-1}\) respectively. What is the ratio of maximum torque experienced by the electric dipoles?

  1. A \(12: 1\)
  2. B \(3: 1\)
  3. C \(9: 1\)
  4. D \(1: 9\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(3: 1\)

Step-by-step Solution

Detailed explanation

The torque \(\tau\) experienced by an electric dipole of moment \(p\) in a uniform electric field \(E\) is given by \(\tau = pE \sin \theta\). The maximum torque \(\tau_{max}\) occurs when \(\theta = 90^{\circ}\), so \(\tau_{max} = pE\). For the first dipole,…
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