An electron in a hydrogen atom undergoes a transition from an orbit with a quantum number n i to another quantum number n f . V i   and   V f are the initial and final potential energies of the electron. If V i V f = 6.25 then the smallest n f is

Question

An electron in a hydrogen atom undergoes a transition from an orbit with a quantum number n i to another quantum number n f . V i &#160; and &#160; V f are the initial and final potential energies of the electron. If V i V f = 6.25 then the smallest n f is

Aicharya · Accepted Answer

U = - Z 2 n 2 E 0 Z = 1 U = - E 0 n 2 U i U f = n f 2 n i 2 = 6.25 Taking n i = 2 n f = 5

An electron in a hydrogen atom undergoes a transition from an orbit with a quantum number n i to another…

Solution