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  • An electron in the ground state of hydrogen atom is revolving in a circular orbit of radius . The orbi

An electron in the ground state of hydrogen atom is revolving in a circular orbit of radius \mathrm{R}. The orbital magnetic moment of the electron is

Option: 1

\mathrm{\frac{2eh}{\pi\ m}}


Option: 2

\mathrm{\frac{eh}{4\pi\ m}}


Option: 3

\mathrm{\frac{eh}{2\ \pi\ m}}


Option: 4

\mathrm{-\frac{eh}{\pi\ m}}


Answers (1)

best_answer

We know that \mathrm{M=\frac{e}{2m}.\ L\\ \ \ \ ........\left ( 1 \right )}
\mathrm{\text { but, } L=\frac{n h}{2 \pi}, n=1,2,3 \ldots}
form equation \mathrm{\left ( 1 \right )-} \mathrm{M=\frac{e}{2m}\times \frac{nh}{2\pi } }

put \mathrm{n=1 }

\mathrm{M=\frac{eh}{4\pi m} }

 

Posted by

Shailly goel

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