Calculate the impact parameter of 5.0 MeV `alpha`-particle scattered by `10^(@)` when it approaches a gold nuclcus (Z = 79).

Explanation

To calculate the impact parameter \( b \) of a 5.0 MeV alpha particle scattered by 10 degrees when it approaches a gold nucleus (Z = 79), we can use the formula:

\[ b = \frac{Z e^2 \cot(\theta/2)}{4 \pi \epsilon_0 \cdot \frac{1}{2} mv^2} \]

### Step 1: Identify the given values
- Energy of the alpha particle, \( E = 5.0 \, \text{MeV} \)
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