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Q.

An electron is revolving in a circular orbit of radius r in a hydrogen atom. The angular momentum of the electron is L. The dipole moment associated with it is

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a

2emL

b

e2mL

c

emL

d

2meL

answer is B.

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Detailed Solution

Magnetic moment of revolving electron,  M=iA=(e2πrV)×(πr2)=eVr2…………….(1)But, Angular Momentum = L = mVr …………….(2)Dividing (1) and (2)                        ⇒ML=eV2rmVr=e2m ⇒M=e2mL
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An electron is revolving in a circular orbit of radius r in a hydrogen atom. The angular momentum of the electron is L. The dipole moment associated with it is