First slide

Bohr Model of the Hydrogen atom.

Question

If $ω$ be be the angular speed of the electron in the nth orbit of the hydrogen atom, then

Moderate

A

$ω \propto \sqrt{n}$
B

$ω \propto \frac{1}{n}$
C

$ω \propto \frac{1}{n^{2}}$
D

$ω \propto \frac{1}{n^{3}}$

Solution

$L_{n} = m ω r^{2} = n (\frac{h}{2 π}) \Rightarrow ω \propto \frac{n}{r^{2}}$
$r \propto n^{2} ∴ ω \propto \overset{1}{}; /; \underset{n^{3}}{}$

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