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MHT CET 2021 (22 Sep, Shift 2) · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from MHT CET 2021 (22 Sep, Shift 2)

Q34MHT CET 2021 · 22 SEP · SHIFT 2Medium

Energy of the Electron & Energy Levels

If ' $E$ ' and ' $L$ ' denote the magnitude of total energy and angular momentum of revolving electron in $n$ th Bohr orbit, then

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Answer: (c)

$E = \frac{13.6}{n^2}$ eV (magnitude), so $E \propto \frac{1}{n^2}$ .
$L = \frac{nh}{2\pi}$ , so $n \propto L$ .
Hence $E \propto L^{-2}$ ; the answer is (c).

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