An electric dipole placed in a non uniform electric field in such a way that angle between \(\vec{p}\) and \(\vec{E}\) is not \(0^{\circ}\) or \(180^{\circ}\), so it experiences ________.

A no torque and no net force.
B both a torque and net force.
C only a force but no torque.
D only a torque but no net force.

Verified Solution

Answer & Solution

Correct Answer

(B) both a torque and net force.

Step-by-step Solution

Detailed explanation

A dipole in a non-uniform electric field experiences a net force due to the field gradient. Since the angle between \(\vec{p}\) and \(\vec{E}\) is not \(0^{\circ}\) or \(180^{\circ}\), it experiences a torque.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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