If velocity of an electron in I orbit of H atom is V, what will be the velocity of electron in third orbit of ${Li}^{+ 2}$

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V/3

3 V

9 V

answer is A.

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Detailed Solution

$\begin{array}{l} V = 2 .188 \times 10^{6} \frac{Z}{n} m / s \\ Now, V \propto \frac{Z}{n} \\ so, \frac{V_{{Li}^{+ 2}}}{V_{H}} = \frac{Z_{1} / n_{1}}{Z_{2} / n_{2}} = \frac{3 / 3}{1 / 1} = 1 \\ or, V_{{Li}^{+ 2}} = V_{H} \end{array}$

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