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 D6 Energy required to transfer an electron from second Bohr orbit to third Bohr orbit in a hydrogen atom is Eh=−13.6n22−−13.6n21
Since, n1=2 and n2=3,
Eh=−13.632−−13.622
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