Dual Nature Of Light Question 175

Question: A gas of identical hydrogen like atoms has some atoms in the lowest (ground) energy level A & some atoms in a particular upper (excited) energy level B & there are no atoms in any other energy level. The atoms of the gas make transition to a higher energy level by the absorbing monochromatic light of photon energy $ 2.55eV $ . Subsequently, the atoms emit radiation of only six different photon energies. Some of the emitted photons have energy $ 2.55eV $ . Some have energy more some have less than $ 2.55eV $ . Find the principle quantum number of the initially excited level B.

Solution:

Answer: 2.00