CUET · PHYSICS · PYQ PAPER 2025

An electric dipole is kept in an electric field which is increasing in the +x direction.
The dipole moment of the dipole is also along the +x direction.
Which of the following options is correct for the electric dipole?

A Electric dipole will not experience any force in the presence of the electric field (\( \vec{E} \)).
B Electric dipole will experience force and try to align perpendicular to the direction of electric field (\( \vec{E} \)).
C Electric dipole will experience a net force in +x direction.
D Electric dipole will experience a net force in -x direction.

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Answer & Solution

Correct Answer

(C) Electric dipole will experience a net force in +x direction.

Step-by-step Solution

Detailed explanation

\( \vec{F} = (\vec{p} \cdot \nabla)\vec{E} \) Given \( \vec{p} \) is along \( +x \) and \( \vec{E} \) is increasing along \( +x \), thus \( \frac{\partial E_x}{\partial x} > 0 \). \( \vec{F} = p \frac{\partial E_x}{\partial x} \hat{i} \). Electric dipole will experience a net…

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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An electric dipole is kept in an electric field which is increasing in the +x direction. The dipole moment of the dipole is also along the +x direction. Which of the following options is correct for the electric dipole?

Step-by-step Solution

An electric dipole is kept in an electric field which is increasing in the +x direction.
The dipole moment of the dipole is also along the +x direction.
Which of the following options is correct for the electric dipole?