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Question

The energy of the second Bohr orbit in the hydrogen atom is $$-3.41 \,eV.$$ The energy of the second Bohr orbit of $$He^{+}$$ ion would be:


A
0.85eV
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B
13.64eV
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C
1.70eV
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D
6.82eV
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Solution

The correct option is C $$-13.64\,eV$$
The energy of electron in Bohr's model is directly proportional to $$\dfrac{Z^2}{n^2}$$.
Therefore the energy of electron in $$2nd$$ orbit of $$He^+$$ is 4 times the energy of electron in $$2nd$$ orbit of Hydrogen.

Note: Bohr's model can be applied to single electrons system only.
Hence option B is correct

Chemistry

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