JEE Main 2026 — 2 April, Evening Shift — Question 12

Two metal plates (A,B) are kept horizontally with separation of $\left(\frac{12}{\pi}\right)\mathrm{cm}$, with plate A on the top. An atomizer jet sprays oil (density $1.5\mathrm{g/cm}^3$) droplets of radius $1\mathrm{mm}$ horizontally. All oil droplets carry a charge $5\mathrm{nC}$. The potentials $V_A$ and $V_B$ required on plates A and B respectively in order to ensure the droplets do not descend are (Neglect air resistance, $\mathrm{g}=10\mathrm{m/s}^2$)