Calculate the velocity of an electron placed in the `3^(rd)` orbit of the `Li^(2+)` ion. Also calculate the number of revolution per second that it makes around the nucleous.

Explanation

To solve the problem of calculating the velocity of an electron in the \(3^{rd}\) orbit of the \(Li^{2+}\) ion and the number of revolutions it makes around the nucleus, we can follow these steps:

### Step 1: Calculate the Radius of the \(3^{rd}\) Orbit
The formula for the radius of the \(n^{th}\) orbit in a hydrogen-like atom is given by:

\[ R_n = 0.529 \times \frac{n^2}{Z} \text{ (in cm)} \]
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