InterviewSolution
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InterviewSolution
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The magnetic moment vectors mu_s and mu_l associated with the intrinsic spin angular momentum vecS and orbital angular momentum vecl respectively, of an electron are predicated by quantum theory (and verified experimentally to a hing accuracy ) to be given by : mu_s = -((e)/(m)) vecS , mu_I =-((e)/(2m))vecI Which of these relations is in accordance with the result expected classically ?Outline the derivation of the classical result . |
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Answer» Solution :Of the two RELATIONS GIVEN here, the relation `mu_I = -((e)/(2M)) vecI` is in accordance with the classical theory. According to basic definitions, magnetic moment due to orbital motion of electron `mu_I = I A (e/T) * pi R^2 , ` where T = time of revolution of electron and R = radius of orbit and `|vecl| = MVR = m * (2pi R)/(T)* R = (m2pi R^2)/(T)` `therefore (mu_l)/(l) = e/(2m)` As charge on electron is negative , `mu_l and vecl` must be ANTIPARALLEL and hence we can write `mu_l =-((e)/(2m))* vecl` |
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