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JEE Main 202624 JanuaryMorning Shift

Exam: JEE Main
Year: 2026
Date: 24 January
Shift: Morning Shift
Subject: Physics
Chapter: Electrostatics

JEE Main 2026 · 24 January · Morning Shift · Physics · Electrostatics

Three charges +2 q,+3 q and -4 q are situated at (0,-3 a),(2 a, 0)...

Three charges

+2 q,+3 q

and

-4 q

are situated at

(0,-3 a),(2 a, 0)

and

(-2 a, 0)

respectively in the

x y

plane. The resultant dipole moment about origin is

\_\_\_\_

.

Options

A $2 q a(7 \hat{i}-3 \hat{j})$
B $2 q a(3 \hat{j}-\hat{i})$
C $2 q a(3 \hat{i}-7 \hat{j})$
D $2 q a(3 \hat{j}-7 \hat{i})$

Correct answer

A. $2 q a(7 \hat{i}-3 \hat{j})$

Step-by-step solution

The dipole moment is given by:

\vec{p} = q_1\vec{r}_1 + q_2\vec{r}_2 + q_3\vec{r}_3

\vec{p} = (2q)(-3a)\hat{j} + (3q)(2a)\hat{i} + (-4q)(-2a)\hat{i}

\vec{p} = -6qa\hat{j} + 6qa\hat{i} + 8qa\hat{i}

\vec{p} = 14qa\hat{i} - 6qa\hat{j}

\vec{p} = 2qa(7\hat{i} - 3\hat{j})

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