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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

`6.5 xx 10^(-7)m`

B

`5.6 xx 10^(-7)m`

C

`4.8 xx 10^(-7)m`

D

`4.0 xx 10^(-7)m`

Text Solution

Verified by Experts

The correct Answer is:
C
For visible region `DeltaE lt 10.2 eV` and in this case
`DeltaE=-3.4 -(-6)=2.6 eV`
`lambda=(hc)/(DeltaE)=(12400 eV-Å)/(2.6 eV) cong 4800Å cong 4.8xx10^(-7) m`
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