JEE Main · 2026 · 02 Apr 2026 · Shift 1 · Electrostatics

Two short electric dipoles A and B having dipole moment

p_{1}

and

p_{2}

respectively are placed with their axis mutually perpendicular as shown in the figure. The resultant electric field at a point x is making an angle of

6 0^{\circ}

with the line joining points O and x. The ratio of the dipole moments

p_{2} / p_{1}

is ____.

(A) $\frac{3}{2}$
(B) $23$ ✓ Correct
(C) $\frac{1}{3}$
(D) $3$

Answer: (B)

Solution

The point

x

lies on the axis of dipole A, which produces an axial field

E_{A} = \frac{2 k p _{1}}{x ^{3}}

along

O x

, and on the equatorial line of dipole B, which produces a field

E_{B} = \frac{k p _{2}}{x ^{3}}

perpendicular to

O x

. As the two contributions are mutually perpendicular, the resultant makes an angle

θ

with

O x

where

tan θ = \frac{E _{B}}{E _{A}} = \frac{p _{2}}{2 p _{1}}

. With

θ = 6 0^{\circ}

3 = \frac{p _{2}}{2 p _{1}}

, so

\frac{p _{2}}{p _{1}} = 23

. The ratio

p_{2} / p_{1}

23

JEE Main · 2026 · 02 Apr 2026 · Shift 1 · Single correct option

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JEE Main · 2026 · 02 Apr 2026 · Shift 1 · Electrostatics

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