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Question

Some hydrogen like atoms in ground state absorb n photons having same energy & on de-excitation they emit exactly n photons. Then the energy of absorbed photon may be:

A
91.8 eV
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B
40.8 eV
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C
48.4 eV
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D
54.4 eV
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Solution

The correct option is B 91.8 eV
According to the question,
Number of dark lines during absorption= Number of bright lines during emission.
This condition is possible when electron is excited from ground state to n=2
So, the energy of absorbed photon may be 91.8eV or 40.8eV

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