Atomic StructureHard

Question

The speed of electron in H-atom is directly proportional to

Options

A.r

B.$\sqrt{r}$

C.1/r

D.$1/\sqrt{r}$

Solution

$\frac{mv^{2}}{r} = \frac{1}{4\pi\varepsilon_{0}}.\frac{ze^{2}}{r^{2}} \Rightarrow v = \sqrt{\frac{ze^{2}}{\left( 4\pi\varepsilon_{0} \right)mr}}$

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