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Question

# A single electron orbits around a stationary nucleus of charge +Ze, where Z is a constant and e is the magnitude of the electronic charge. It required 47.2 eV to excite the electron from the second Bohr orbit to the third Bohr orbit.Find the energy required to excite the electron from the third to the fourth Bohr orbit.

A
18 eV
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B
16.53 eV
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C
19 eV
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D
21 eV
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Solution

## The correct option is C 16.53 eVΔE=13.6(1n21−1n22)z2 given n1=2,n2=347⋅2=13⋅6z2(122−132)z2=25z=5 now, putting n1=3,n2=4ΔE=13.6×22×(132−142)=13.6×25×716×9=16.53eVCorrect B

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