An electron revolving in n th Bohr orbit has magnetic moment μ n . If μ n ∝ n x , the value of x is:

An electron revolving in

n^{th}

Bohr orbit has magnetic moment

μ_{n}

. If

μ_{n} \propto n^{x}

, the value of

x

is:

$2$
$1$
$3$
$0$

Solution

Magnetic moment of electron is given by, $μ_{n} = \frac{e h n}{4 π m_{e}}$ .
Clearly, $μ_{n} \propto n^{1}$ . Therefore, $x = 1$ .

Asked in: JEE Main 2024 (30 Jan Shift 2)

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