JEE Main 2023 — Electrostatics Question with Solution

As shown in the figure, a configuration of two equal point charges $$\left(q_0=+2\mu \mathrm{C}\right)$$ is placed on an inclined plane. Mass of each point charge is $$20\mathrm{g}$$. Assume that there is no friction between charge and plane. For the system of two point charges to be in equilibrium (at rest) the height $$\mathrm{h}=x\times 10^{-3}\mathrm{m}$$.

The value of $$x$$ is ____________.

(Take $$\frac{1}{4\pi {\epsilon }_0}=9\times 10^9\mathrm{N}{\mathrm{m}}^2{\mathrm{C}}^{-2},g=10\mathrm{m}{\mathrm{s}}^{-2}$$ )