Physics · Electrostatics

JEE Main 2025 — 2 April, Morning Shift — Question 60

A point charge +q+q is placed at the origin. A second point charge +9q+9 q is placed at (d,0,0)(d, 0,0) in Cartesian coordinate system. The point in between them where the electric field vanishes is:

  1. Option A:

    (d/4,0,0)(d / 4,0,0)

    Correct
  2. Option B:

    (d/3,0,0)(d / 3,0,0)

  3. Option C:

    (3d/4,0,0)(3 d / 4,0,0)

  4. Option D:

    (4d/3,0,0)(4 d / 3,0,0)

Answer: A

Step-by-step solution

9x2=2q(d−x)2d−x=3xx=d4\begin{aligned} & \frac{9}{x^{2}}=\frac{2 q}{(d-x)^{2}} &\\ d-x=3 x &\\ x=\frac{d}{4} \end{aligned}

∴E=0\therefore E=0 at (d/4,0,0)(d / 4,0,0)

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Electrostatics
Topic
Properties of Electric Charge and Coulomb's Law