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The electron of H-atom in the ground st...

The electron of H-atom in the ground state is excited to a higher energy level by monuchromatic light of energy `13.22 eV` How many different photon are emitted when it return to the ground state?

A

4

B

10

C

6

D

15

Text Solution

Verified by Experts

`13.22eV = 13.6 [(1)/(1^(2)) - (1)/(n^(2))] = 13.6 - (13.6)/(n^(2))`
` (13.6)/n^(2)=13.6-13.22=0.38`
`n = 6`
The electron of H atom is axcited from `n_(1) rarr 1 "to" n_(2) rarr 6`
Number of line `= (6(6-1))/(1) = 15`
The number of photon emitted is equal to the number of spectral lines `= 15`
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