Q 12-01-101JEE MainJEE Main 2022 (27 Jun, Shift 2)Medium
Three identical charged balls each of charge $2$ C are suspended from a common point $P$ by silk threads of $2$ m each (as shown in figure). They form an equilateral triangle of side $1$ m.
The ratio of net force on a charged ball to the force between any two charged balls will be
Answer: (A) $\sqrt3 : 1$
Each ball is repelled by the other two with equal forces $F$ directed along the sides of the equilateral triangle, i.e. at $60^\circ$ to each other.
$$F_{\text{net}} = \sqrt{F^2 + F^2 + 2F^2\cos60^\circ} = \sqrt3\,F$$
Ratio $= \sqrt3 : 1$.
Solution by Sreeraj P, M.Sc Physics