devarshi-dt-logo

Question:

An electron in a hydrogen atom undergoes a transition from an orbit with quantum number ni to another with quantum number nf. Vi and Vf are respectively the initial and final potential energies of the electron. If Vi/Vf = 6.25, then the smallest possible nf is?

Solution:

Vi/Vf = 6.25
We have E ∝ Z2/n2
V = 2E
Vi = 1/ni2
Vf = 1/nf2
nf2/ni2 = 6.25
nf/ni = 2.5
nf = 5/2 ni
When ni = 2, nf = 5