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 (r_n) = n²a_o/Z  .........1            (n=orbit , Z = atomic no)

  a_o = 52.9pm

velocity(V_n) = V_oZ/n       ..........2                                  (V_o = 2.18*10⁶m/s)

time period of revolution = 2pir/V

                              T_n   =  2pin³a_o/Z²V_o

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/T_n = Z²V_oe/2pia_on³                         (e is electronic charge)

this is the required expression  .......

approve my ans if u like it

Approved