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
B
13.64eV
C
1.70eV
D
6.82eV

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 correctChemistry

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