First slide

Bohr's atom model

Question

The force acting on the electron in a hydrogen atom depends on the principal quantum number as

Easy

A

$n h / 2 π$
B

$F \propto \frac{1}{n^{2}}$
C

$F \propto n^{4}$
D

$F \propto \frac{1}{n^{4}}$

Solution

$F = \frac{m v^{2}}{r} But v \propto \frac{1}{n} and r \propto n^{2} \Rightarrow F \propto \frac{1}{n^{4}}$

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