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MHT CET 2026 (20 Apr, Shift 2) · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from MHT CET 2026 (20 Apr, Shift 2)

Q1MHT CET 2026 · 20 APR · SHIFT 2Easy

Energy of the Electron & Energy Levels

The kinetic energy of the electron in an orbit of radius $r$ in hydrogen atom is proportional to ( $e$ = electronic charge)

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Answer: (c)

Centripetal force: $\frac{mv^2}{r} = \frac{ke^2}{r^2}$ with $k = \frac{1}{4\pi\epsilon_0}$ .
$KE = \frac{1}{2}mv^2 = \frac{ke^2}{2r} \propto \frac{e^2}{2r}$
So the answer is (c) $\frac{e^2}{2r}$ .

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