Identify the incorrect statements among the following.
(A) The two charges of an electric dipole will experience force in the same direction when placed in a uniform electric field
(B) The dipole moment is a vector quantity
(C) The direction of the dipole moment is from +q charge towards -q charge
(D) The torque acting on the dipole in an electric field depends on the intensity of the field and the dipole moment.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A) and (C) only
(A) The two charges of an electric dipole will experience force in the same direction when placed in a uniform electric field — Incorrect. The force on \( +q \) is \( q\vec{E} \) and on \( -q \) is \( -q\vec{E} \): they are equal and opposite, so the net force is zero.
(B) The dipole moment is a vector quantity — Correct. \( \vec{p} = q\,(2\vec{a}) \) has both magnitude and direction.
(C) The direction of the dipole moment is from +q charge towards -q charge — Incorrect. By convention the dipole moment points from the negative charge to the positive charge, from \( -q \) towards \( +q \).
(D) The torque acting on the dipole in an electric field depends on the intensity of the field and the dipole moment. — Correct. The torque is \( \vec{\tau} = \vec{p}\times\vec{E} \), of magnitude \( pE\sin\theta \), so it depends on both \( p \) and \( E \).
NCERT (2026-27):
The Field of an Electric Dipole – “… The dipole moment vector p of an electric dipole is defined by
\( \displaystyle \mathbf{p} = q \times 2a\,\hat{\mathbf{p}} \qquad (1.19) \)
that is, it is a vector whose magnitude is charge q times the separation 2a (between the pair of charges q, –q) and the direction is along the line from –q to q.”
Dipole in a Uniform External Field – “… There is a force qE on q and a force –qE on –q. The net force on the dipole is zero, since E is uniform.”