A hot gas emits radiation of wavelengths 46nm,82.8nm and 103.5nm only. Assume that the atoms have only two excited states and the difference between consecutive energy levels decreases as energy is increased. Taking the energy of the highest energy state to be zero, find the energies of the ground state and the first excited state.

As the atom has only 2 excited states, thus it makes transition to n=2 from ground state. The question asks to take higher energy state to be zero, so n=2 is zero in terms of energy.


So energy of the ground state will be,



And that of the first excited state is,



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