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 3rd orbit of the \( \text{Li}^{2+} \) ion and the number of revolutions per second, we will follow these steps:

### Step 1: Identify the relevant formulas
The velocity of an electron in the nth orbit of a hydrogen-like atom can be calculated using the formula:
\[ v_n = \frac{Z \cdot e^2}{2 \cdot \epsilon_0 \cdot h} \cdot \frac{1}{n} \]
Where:
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