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Question

The energy required to transfer an electron from second Bohr orbit to third Bohr orbit in a hydrogen like atom with nuclear charge Ze is 68.0eV. The value of Z will be

A
3
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B
4
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C
5
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D
6
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Solution

The correct option is D 6
Energy required to transfer an electron from second Bohr orbit to third Bohr orbit in a hydrogen atom is
Eh=13.6n2213.6n21
Since, n1=2 and n2=3,
Eh=13.63213.622
Eh=1.51+3.4
Eh=1.89eV
Now, for the same transfer of an electron in a hydrogen like atom the required energy is:
E=Z2×Eh
68=Z2×1.89
Z2=681.89

Z=681.89
Z=35.9736
Z=6

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