First slide

Bohr Model of the Hydrogen atom.

Question

Bohr magneton is

Moderate

A

$\frac{e h}{2 π m}$
B

$\frac{e^{2} h}{4 π m}$
C

$\frac{e^{2} h}{2 π m}$
D

$\frac{e h}{4 π m}$

Solution

$Magnetic moment due to motion of the first orbit electron in hydrogen atom . M = iA = \frac{e}{T} π r^{2} = \frac{ev}{2 πr} {πr}^{2} = \frac{evr}{2} (but mvr = \frac{h}{2 π}) M = \frac{e}{2} \frac{h}{2 πm}$

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