Find ratio of velocities of electrons in `2^(nd)` excited state of `Li^(+2)` ion `& 3^(rd)` excited state of H-atom.

Explanation

To find the ratio of velocities of electrons in the \(2^{nd}\) excited state of the \(Li^{+2}\) ion and the \(3^{rd}\) excited state of the hydrogen atom, we can use the formula for the velocity of an electron in a hydrogen-like atom:

\[ v_n = 2.165 \times 10^6 \frac{Z}{n} \]

where:
- \(v_n\) is the velocity of the electron in the \(n^{th}\) orbit,
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