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
2.55eV
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B
4.25eV
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C
11.25eV
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D
19.55eV
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Solution
The correct option is D19.55eV Energy of photon corresponding to second line of Balmer series for Li2+ ion By using the relation: E=13.6Z2[1n21−1n22] =(13.6)×(3)2[122−142]=13.6×2716 Energy needed to eject electron from n=2 level in H− atoms =13.6×12×[122−1∞2]⇒13.64 Kinetic energy of ejected electron=energy difference K.E. of ejected electron=13.6×9×316−13.64=13.6×(27−416)⇒19.55eV