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 `2nd` excited state of the `Li^(+2)` ion and the `3rd` excited state of the hydrogen atom, we can use the formula for the velocity of electrons in an orbit, which is given by:

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

where:
- \( v_n \) is the velocity of the electron in the nth orbit,
- \( Z \) is the atomic number of the element,
- \( n \) is the principal quantum number (the orbit number).
...