Atomic StructureHard

Question

The force of attraction on electron by the nucleus is directly proportional to

Options

A.$\frac{n^{3}}{Z^{4}}$
B.$\frac{Z^{3}}{n^{4}}$
C.$\frac{n^{4}}{Z^{2}}$
D.$\frac{Z^{2}}{n^{4}}$

Solution

$F = \frac{mv^{2}}{r} \propto \frac{\left( \frac{z}{n} \right)^{2}}{\left( \frac{n^{2}}{z} \right)} = \frac{z^{3}}{n^{4}}$

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