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The magnetic moment $(μ)$ of a revolving electron around the nucleus varies with principal quantum number n as

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$μ \propto n^{2}$

$μ \propto \frac{1}{n^{2}}$

$μ \propto \frac{1}{n}$

$μ \propto n$

answer is A.

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Detailed Solution

We know that magnetic moment
$M = n \cdot \frac{eh}{4 πm}; ∴ M \propto n$
II. Method
We know that $\frac{μ}{L} = \frac{e}{2 m}; μ = L \cdot \frac{e}{2 m}$
$μ = n \cdot \frac{h}{2 π} \frac{e}{2 m}; μ = n \cdot \frac{eh}{4 πm}; μ \propto n$

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