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

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

Tardigrade Admin · Accepted Answer

∵ B=(μ0 I/2 r) and I=(e/T) B=(μ0 e/2 r T)[r propto n2, T propto n5] ; B propto (1/n5)

Q. 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

decreases 16 times

increases 4 times

decreases 4 times

increases 32 times

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

Q. 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