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Question

In a mixture of H - He+ gas (He+ is singly ionized He atom). H atoms and He+ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He+ ions (by collisions ). Assume that the Bohr model of is atom exactly valid.

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Solution

Energy released by H atom
ΔEH=34×13.6 eV
Let He+ goes to nth state at the end
So energy required by He+ ions is

ΔEHe=13.6×4(141n2) eV

As ΔEH=ΔHe

34×13.6=13.6×4(141n2)

141n2=316

1n2=14316

1n2=4316

1n2=116

1n=14

n=4

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