in a hydrogen atom an electron is revolving with an angular frequency
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Consider an electron of charge (-e) performing uniform circular motion around stationary nucleus of charge (+e)
Therefore,
T= circumference /velocity
T= (2*3.14*r)/V...........................(1)
Now circulating current is give by,
I=e/T.............................(2)
Using (1) in (2),
I=e/(2*3.14*r/V)
I=ev/2*3.14*r
Moment =I*A
Moment =evr/2
Thus equation for moment is
M =evr/2
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Answer:
m=evr/2
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