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Question: The Bohr radius of an atom of nuclear charge Z is of order –...

The Bohr radius of an atom of nuclear charge Z is of order –

A

ℏZαmc\frac{\hslash}{Z\alpha mc}

B

Zαℏmc\frac{Z\alpha\hslash}{mc}

C

mcZαℏ\frac{mc}{Z\alpha\hslash}

D

mαZcℏ\frac{m\alpha}{Zc\hslash}

Answer

ℏZαmc\frac{\hslash}{Z\alpha mc}

Explanation

Solution

The Bohr radius for a hydrogen-like atom of nuclear charge Z and one electron outside complete shells is ℏme2Z\frac{\hslash}{me^{2}Z}=ℏZαmc\frac{\hslash}{Z\alpha mc}. Thus the correct answer is (1)