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In a mixture of He^(o+) gas H atom and H...

In a mixture of `He^(o+)` gas H atom and `He^(o+)` ions are excited to their respective first excited states. subsequently , H atom transfers its total excitation energy to `He^(o+)`ions by collision .Assuming that Bohr model of an atom is applicable , answer the following question:
If each hydrogen atom in the ground state of `1.0 mol ` of H atom is excited by absorbing photon of energy `8.4 eV, 12.09 eV` and `15.0 eV` of energy then the number of spectral lines emitted is equal to

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta E = 13.6 xx l^(2) [(1)/(2^(2)) - (1)/(33^(2))] = 12.09 eV`
This will be only absorbed rest is useless (unabsorbed ) so , from `n_(2) = 3`"to" `n_(1) = 1` we have `lambda` corresponding to `3 rarr 2,2 rarr 1 ` and ` 3 rarr 1 ` So, total true spectral line
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