Question
For a hydrogen like particle, derive the expression,
$\text{v}_\text{n}=\Big(\frac{\text{Ze}^2}{\text{mr}_\text{n}}\Big)^\frac{1}{2}$
Where vn is the velocity of the electron at distance rn from the nucleus, Z is the atomic number of the H-like particle, e and m are the charge and mass of the electron.

Answer

For H-like particle, force of attraction between the electron and the nucleus = centrifugal force.

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