Calculate the impact parameter of a 5MeV alpha particle scatterd by `10^@` when it approaches a gold nucleus. Take Z=79 for gold.

Explanation

To calculate the impact parameter of a 5 MeV alpha particle scattered by a gold nucleus, we can use the formula derived from the Rutherford scattering theory. The formula for the impact parameter \( b \) is given by:

\[ b = \frac{Z_1 Z_2 e^2 \cot(\theta/2)}{4 \pi \epsilon_0 E} \]

Where:
- \( Z_1 \) is the atomic number of the alpha particle (which is 2 for helium),
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