Question 86 of 239
In the Bohr model an electron moves in a circular orbit around the proton. Considering the orbiting electron to be a circular current loop, the magnetic moment of the hydrogen atom, when the electron is in excited state, is :
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Answer: (C)
Magnetic moment of the hydrogen atom, when the electron is in excited state, i.e.,
As magnetic moment
$\begin{aligned}
& i_n=e V_n=\frac{m z^2 e^5}{4 \varepsilon_0^2 n^3 h^3} \\
& r_n=\frac{n^2 h^2}{4 \pi^2 k z m e^2}\left(k=\frac{1}{4 \pi \epsilon_0}\right)
\end{aligned}$
Solving we get magnetic moment of the hydrogen atom for excited state
As magnetic moment
$\begin{aligned}
& i_n=e V_n=\frac{m z^2 e^5}{4 \varepsilon_0^2 n^3 h^3} \\
& r_n=\frac{n^2 h^2}{4 \pi^2 k z m e^2}\left(k=\frac{1}{4 \pi \epsilon_0}\right)
\end{aligned}$
Solving we get magnetic moment of the hydrogen atom for excited state