Bohr assumed that the mean value K of the kinetic energy of the electron-nucleus system to be n h f_ text orb / 2, where f_ text orb is the orbital frequency of the electron around the nucleus. Calculate f_ text orb in the ground state in the following ways: (a) Use f_ text classical = fracm e⁴⁴ epsilon_0² h³ frac1n³ . (b) Use equation f_ text classical =f_ text orb = frac omega2 pi= frac12 pi fracvr, but first determine v and r .( mathrmc) Show that the mean value K is determine v and r .( mathrmc) Show that the mean value K is equal to the absolute value of the electron-nucleus system total energy and that this is 13.6 eV. Use this value of K to determine f_ text orb from the relation for K stated above.
