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The ionisation potential of hydrogen ato...

The ionisation potential of hydrogen atom is -13.6 eV. An electron in the ground state of a hydrogen atom absorbs a photon of energy 12.75 eV. How many diggerent spectral lines can one expect when the electron make a downward transition

A

1

B

4

C

2

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
`E=E_(1)//n^(2)`

Energy used for excitation is 12.75 eV
i.e., (-13.6 + 12.75) eV = -0.85 eV.
The photons of energy 12.75 eV can excite the fourth level of H-atom. Therefore six lines will be emitted i.e., `n((n-1))/2` lines.
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