Student Login

Home›Chapters›Electrostatics PYQs›Electrostatic Potential Energy›Question 23

MHT CET 2025 (25 Apr, Shift 1) · Electrostatic Potential Energy

Electrostatic Potential Energy question from MHT CET 2025 (25 Apr, Shift 1)

Q23MHT CET 2025 · 25 APR · SHIFT 1Medium

Electrostatic Potential Energy

Three charges $Q, (-2q)$ and $(-2q)$ are placed at the vertices of an isosceles right angled triangle as shown in figure. The net electrostatic potential energy is zero if $Q$ is equal to

Show answer and solution

Answer: (c)

Q is at the right angle: legs $l$ , hypotenuse $\sqrt2 l$ .
$U = k\left[\dfrac{2Q(-2q)}{l} + \dfrac{4q^2}{\sqrt2 l}\right] = 0$
$4Q = 2\sqrt2 q \Rightarrow Q = \dfrac{q}{\sqrt2}$
So the answer is (c).

Report a mistake

More questions on Electrostatic Potential Energy

Three charges each of magnitude 3, are placed on the vertices of an equilateral triangle…MHT CET 2025 (22 Apr, Shift 2)
Three point charges +Q, +2Q and q are placed at the vertices of an equilateral triangle…MHT CET 2025 (20 Apr, Shift 1)
Two charges q₁ and q₂ are separated by a distance of 30 cm. A third charge q₃ initially…JEE Main 2025 (7 Apr, Shift 1)
In the first configuration (1) as shown in the figure, four identical charges (q₀) are…JEE Main 2025 (24 Jan, Shift 2)
Two point charges +10 and 4 are placed 10 cm apart in air. The work required to be done…MHT CET 2025 (23 Apr, Shift 2)
If a unit positive charge is shifted from a region of low potential to a region of high…MHT CET 2024 (15 May, Shift 1)
In an electric field due to charge Q, a charge q moves from point A to B as shown in the…MHT CET 2024 (15 May, Shift 2)
If a 10 charge exists at the centre of a square, the work done in moving a 2 point charge…MHT CET 2024 (4 May, Shift 2)