First slide

Bohr Model of the Hydrogen atom.

Question

The magnitude energy of electron of hydrogen atom in a stationary orbit of radius $r_{n}$ is proportional to

Easy

A

$r_{n}$
B

$\frac{1}{r_{n}}$
C

$r_{m}^{2}$
D

$\frac{1}{r_{m}^{2}}$

Solution

Total energy of the electron $E_{n} = \frac{1}{4 π \in_{0}} \frac{e^{2}}{2 r_{n}}$
$∴ |E_{n}| α \frac{1}{r_{n}}$

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