AP EAMCET · PHYSICS · Electrostatics
An electric dipole consists of two particle each of mass \(1 \mathrm{~kg}\) separated by \(\mathrm{l} \mathrm{m}\) carrying charges \(1 \mu \mathrm{C}\) and \(-1 \mu \mathrm{C}\) respectively. It is in equilibrium in a uniform electric field of \(2 \times 10^4 \mathrm{Vm}^{-1}\). If it is deflected by a small angle \(2^{\circ}\), minimum time taken by it to come back again to the mean position is (in seconds)
- A \(2.5 \pi\)
- B \(2 \pi\)
- C \(5 \pi\)
- D \(4 \pi\)
Answer & Solution
Correct Answer
(A) \(2.5 \pi\)
Step-by-step Solution
Detailed explanation
Torque on dipole, when it is deflected by a small angle \(\theta\) is \(\tau=p E \sin \theta=p E \theta\) \{ for small angle, \(\sin \theta=\theta\}\) But \(\quad \tau=I \alpha\) where, \(\quad I=m r^2+m r^2=2 m r^2\) So, angular acceleration of dipole is…
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