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Q. 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 $2.55\, eV$. Subsequently, the atoms emit radiation of only six different photon energies. Some of the emitted photons have energy $2.55\, eV$. Some have energy more some have less than $2.55 \, eV$. Find the principal quantum number of the initially excited level $B$.

Atoms

Solution:

Correct answer is '2.00'