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In a mixture of H- He^(+) gas (He+ is si...

In a mixture of `H- He^(+)` gas (`He+ `is singly ionized He atom), `H` atom and `He+` ions are excited to their respective first excited state. Subsequently `H` atoms transfer their total excitation energy to `He+` ions (by collisions) Assume that the bohr model of atom is exactly valid.
The quantum number `n` of the state finally populated in `He^(+)` inos is -

A

`2`

B

`3`

C

`4`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
C
`DeltaE_(H)=(3)/(4)xx13.6 eV=` Enegy released by `H` atom. Let `He^(+)` go to nth state.
So energy required
`DeltaE_(He)=13.6xx4((1)/(4)-(1)/(n^(2)))eV`
`DeltaE_(He)=DeltaE_(H)`
`rArr(3)/(4)xx13.6=13.6xx4((1)/(4)-(1)/(n^(2)))`
`rArr n=4`
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