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Question
Answer the following question.
Use Bohr's model of hydrogen atom to obtain the relationship between the angular momentum and the magnetic moment of the revolving electron.
Solution
According to Bohr’s second postulate of the allowed values of angular momentum are integral multiples of h/2π.
Let n be the principal quantum number, rn be the radius of nth possible orbit and vn be the speed of moving electron in nth orbit
`L_n = m_nv_nr_n = (nh)/(2pi)`
`"magnetic moment", mu = "current" xx "area"`
`mu = e/T xx pir_"n"^2 = ("ev"_"n")/(2pir_"n") xx pir_"n"^2 = (ev_"n"r_"n")/2 = (emv_"n"r_"n")/(2m) = (eL_"n")/(2"m")`
or `mu = (eL)/(2m)`
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