Question

When an electron revolves around the nucleus, then ratio of magnetic moment to angular momentum is–

• A. $\frac{e}{2m}$
• B. $\frac{2e}{m}$
• C. e/m
• D. (e/m)²

Answer 1

Answer: (A)

$\frac{e}{2m}$

Answer 2

Angular momentum : L = n$\frac{h}{2\pi}$= mvr Magnetic moment :

m = iA =$\frac{e}{2\pi r}$v × pr²

m = $\frac{e(vr)}{2}$

m = $\frac { \mathrm { e } } { 2 }$ $\left( \frac{L}{m} \right)$

\frac{\mu}{L} = \frac{e}{2m} \end{matrix}$$