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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 wavelength of light emitted in the visible region by `He+` lons after collisions with `H` atoms is -

A

`6.5xx10^(7)m`

B

`5.6xx10^(-7)m`

C

`4.8xx10^(-7)m`

D

`4.0xx10^(-7)m`

Text Solution

Verified by Experts

The correct Answer is:
C
The wavelength corresponding to transition from `n=4` to `n=3` in `He^(+)` corresponds to visible region. Its wavelength is:
`(hc)/(lambda)=13.6xx4[(1)/(9)-(1)/(16)]`
`(4.1xx10^(-15)xx3xx10^(8))/(lambda(m))=13.6xx4xx(7)/(9xx16) rArr lambda=(4.1xx10^(-15)xx3xx10^(8))/(13.6xx4(7)/(9xx16))=lambda=4.68xx10^(-7)m`.
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