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JEE Main 2025 (8 Apr, Shift 2) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from JEE Main 2025 (8 Apr, Shift 2)

Q34JEE Main 2025 · 8 APR · SHIFT 2Medium

Electric Potential & Equipotentials

Two metal spheres of radius R and 3R have same surface charge density σ. If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere becomes σ1 and σ2, respectively. The ratio $\frac{\sigma_1}{\sigma_2}$ is

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Answer: (d)

After contact both spheres are at the same potential: $V = \frac{\sigma r}{\varepsilon_0}$ equal $\Rightarrow \sigma \propto \frac{1}{r}$ .
$\frac{\sigma_1}{\sigma_2} = \frac{3R}{R} = 3$
So the answer is (d) 3.

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