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Question

If radiation corresponding to second line of "Balmer series" of Li2+ ion, knocked out electron from first excited state of H− atom then kinetic energy of ejected electron would be:

A
2.55 eV
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B
4.25 eV
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C
11.25 eV
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D
19.55 eV
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Solution

The correct option is D 19.55 eV
Energy of photon corresponding to second line of Balmer series for Li2+ ion
By using the relation:
E=13.6Z2[1n211n22]
=(13.6)×(3)2[122142]=13.6×2716
Energy needed to eject electron from n=2 level in H atoms
=13.6×12×[12212]13.64
Kinetic energy of ejected electron=energy difference
K.E. of ejected electron=13.6×9×31613.64=13.6×(27416)19.55 eV

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