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A hydrogen like gas emits radiation of w...

A hydrogen like gas emits radiation of wavelengths `460 Å, 828 Å` and `1035Å`, only. Assume thar 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.

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The correct Answer is:
`[-27.2eV, -12 eV]`
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