Question

In the hydrogen atom, an electron makes a transition from $n=2$ to $n=1$. The magnetic field produced by the circulating electron at the nucleus

• A. decreases $16$ times
• B. increases $4$ times
• C. decreases $4$ times
• D. increases $32$ times

Answer 1

The correct option is D increases $32$ times

$\because B=\frac{{\mu }_{0}I}{2r}$ and $I=\frac{e}{T}$
$B=\frac{{\mu }_{0}e}{2rT}[r\propto n^2,T\propto n^5];B\propto \frac{1}{n^5}$