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According to the Bohrs model of hydrogen atom te electric current generated due to the motion of the electron in nth orbit is given by?
radius (rn) = n2ao/Z .........1 (n=orbit , Z = atomic no)
ao = 52.9pm
velocity(Vn) = VoZ/n ..........2 (Vo = 2.18*106m/s)
time period of revolution = 2pir/V
Tn = 2pin3ao/Z2Vo
now , in hydrogen atom ,electron moves in circular orbit , electron is charge particle & due to motion of any charge particle electric current is gererated so
I = dq/dt
I = e/Tn = Z2Voe/2piaon3 (e is electronic charge)
this is the required expression .......
approve my ans if u like it
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