Question

In a hypothetical atom, the potential energy (U), of an electron and a proton, distance r apart, is given by U = - ke²/3r³ where k is a constant. Applying Bohr’s theory to this atom, the speed v_n , and the total energy, E_n, of the electron, in its nth allowed orbit, would depend on ‘n’, as:

Answer 1

Correct option : (1)

Explanation :

Given U = - ke²/3r³. The force, F, between the electron and the proton, distant r apart, is

 

For an electron, in its circular orbit of radius r_n, the speed v_n (is the nth allowed orbit), would be given by