An electron(e) is revolving in a circular orbit of radius 'r' in hydrogen atom. The angular momentum of the electron is (M = magnetic dipole moment associated with it and m = mass of electro

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An electron(e) is revolving in a circular orbit of radius 'r' in hydrogen atom. The angular momentum of the electron is (M = magnetic dipole moment associated with it and m = mass of electron )

TestHub · Accepted Answer

The angular momentum of electron is given as L = m v r = m ( r ω ) ⋅ r = mω r 2 ⇒ ω r 2 = m L ​ … ( i ) ​ Magnetic dipole moment, M = i A = T e ​ ⋅ π r 2 = 2 π / ω e ​ ⋅ π r 2 = 2 e ​ ⋅ ω r 2 ⇒ M = 2 e ​ ⋅ m L ​ [From Eq. (i)] ⇒ L = e 2 m M ​ ​

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