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Question

A hydrogen-like an atom has its single electron orbiting around its stationary nucleus. The energy to excite the electron from the second Bohr orbit to the third Bohr orbit is 47.2eV. The atomic number of this nucleus is ______.

A
1
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B
2
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C
3
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D
5
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Solution

The correct option is D 5

Energy for excitation from 2nd to 3rd orbit

ΔE=13.6×Z2×[1(2)21(3)2] eV

47.2=13.6×Z2×59×4

Z2=24.98

Z5


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