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It is not possible for a photon to be co...

It is not possible for a photon to be completely absorbed by a free electron. Explain.

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The free electron in metal is bound by some restraining forces. Due to which it can not come out of its own. Some energy is to be spent in ejecting the free electron form the surface of metal which is equal to work function of metal. It means, some of the energy of the incident photon is spent in liberting the electron form the surface of metal and remaining energy of incident photon is used in imparting the K.E. to the emitted electron. As the maximum K.E. of the emitted photoelectron is less than the energy of incident photon, hence it is not possible for a photon to be completely absorbed by a free electron.
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  • A photon of energy 12.09 eV is completely absorbed by a hydrogen atom initially in the ground state. The quantum number of excited state is

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