MHT CET · Physics · Electrostatics
An electric dipole consisting of two opposite charges of \(2 \times 10^{-6} \mathrm{C}\) separated by a distance of \(3 \mathrm{~cm}\) placed in an electric field of \(2 \times 10^5 \mathrm{~N} / \mathrm{C}\) then the maximum torque acting on dipole is
- A \(12 \times 10^{-1} \mathrm{~N}-\mathrm{m}\)
- B \(24 \times 10^{-3} \mathrm{~N}-\mathrm{m}\)
- C \(12 \times 10^{-3} \mathrm{~N}-\mathrm{m}\)
- D \(24 \times 10^{-1} \mathrm{~N}-\mathrm{m}\)
Answer & Solution
Correct Answer
(C) \(12 \times 10^{-3} \mathrm{~N}-\mathrm{m}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Dipole moment } \mathrm{p}=\mathrm{q} \times 2 \mathrm{l}=2 \times 10^{-6} \times 3 \times 10^{-2} \\ & =6 \times 10^{-8} \mathrm{Cm} \\ & \therefore \tau_{\max }=\rho E \sin \theta=\mathrm{pEsin} 90^{\circ} \\ & =6 \times 10^{-8} \times 2 \times 10^5 \times 1 \\ & =12 \times 10^{-3} \mathrm{Nm}\end{aligned}\)
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