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  4. The electron in a hydrogen atom jumps back from an excited state to ground state, by emitting a photon of wavelength λ0=(16/15 R ), where R is Rydberg's constant. In place of emitting one photon, the electron could come back to ground state by

Q. The electron in a hydrogen atom jumps back from an excited state to ground state, by emitting a photon of wavelength , where is Rydberg's constant. In place of emitting one photon, the electron could come back to ground state by

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Solution:

Using the Rydberg's Formula for the given transition

solving we get . Thus electron can come to ground state by emitting two or three photons such that the sum of energies of each transition remain same so we can use


and

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