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Question

A single electron orbits a stationary nucleus of charge +Ze, where Z is a constant. It requires 47.2 eV to excite an electron from second Bohr orbit to third Bohr orbit. Find the value of Z

A
2
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B
5
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C
3
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D
4
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Solution

The correct option is B 5
Excitation energy of hydrogen like atom for n2n1
ΔE=13.6Z2(1n211n22)eV47.2=13.6Z2(122132)=13.6×536Z2Z2=47.2×3613.6×5=24.9825Z=5

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