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JEE Main 2026 (2 Apr, Shift 1) · Electric Dipole

Electric Dipole question from JEE Main 2026 (2 Apr, Shift 1)

Q13JEE Main 2026 · 2 APR · SHIFT 1Medium

Electric Dipole

Two short electric dipoles A and B having dipole moment p1p_1 and p2p_2 respectively are placed with their axes mutually perpendicular as shown in the figure. The resultant electric field at a point xx is making an angle of 60∘60^\circ with the line joining points OO and xx. The ratio of the dipole moments p2/p1p_2/p_1 is _________.

Figure

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Answer: (b)

  1. Point x is on the axis of A: EA=2kp1r3E_A = \frac{2kp_1}{r^3} (along the x-axis).
  2. Point x is on the equatorial line of B: EB=kp2r3E_B = \frac{kp_2}{r^3} (along the y-axis).
  3. tan⁡60∘=EBEA=p22p1\tan60^\circ = \frac{E_B}{E_A} = \frac{p_2}{2p_1}
  4. p2p1=23\frac{p_2}{p_1} = 2\sqrt3, so the answer is (b).
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