Q107 / 180 · AIIMS 2005 · Physics
The magnetic moment $(\mu)$ of a revolving electron around the nucleus varies with principal quantum number $n$ as
- Correct answerA$\mu \propto n$
- B$\mu \propto 1 / n$
- C$\mu \propto n^2$
- D$\mu \propto 1 / n^2$.
Solution
$$
\begin{aligned}
& L=n \cdot \frac{h}{2 \pi}, \\
& \mu_n=\frac{e}{2 m} \cdot n \frac{h}{2 \pi} \text { i.e. } \mu \propto n
\end{aligned}
$$
Hence, the correct answer is option: 'A'.