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JEE Main 2026 · 2 Apr · Shift 1, Physics question 36

Two short electric dipoles AA and BB having dipole moment p1p_1 and p2p_2 respectively are placed with their axis mutually perpendicular as shown in the figure. The resultant electric field at a point xx is making an angle of 60° with the line joining points O and xx. The ratio of the dipole moments p2/p1p_2/p_1 is ________.

Two short dipoles centred at O: dipole A lies along the horizontal line (+ on the left, − on the right) and dipole B is vertical (+ above, − below). Point x lies on the horizontal line to the right of O, joined to O by a dashed line, so x is on the axis of A and on the equatorial line of B.
Choose one option
Answer and worked solution

Official answer: B

Position of x. It lies on the axis of dipole A and on the equatorial line of dipole B.

Fields. EA=2kp1r3E_A=\dfrac{2kp_1}{r^3} along Ox and EB=kp2r3E_B=\dfrac{kp_2}{r^3} perpendicular to it.

Angle. tan⁡60∘=EBEA=p22p1\tan60^\circ=\dfrac{E_B}{E_A}=\dfrac{p_2}{2p_1}, so p2p1=23\dfrac{p_2}{p_1}=2\sqrt3.

(B)