In Rutherford's `alpha` particle cexperiment with thin gold faill, 8100 scattered `alpha`-particles per unit ara per unit area per minute were observed at an anle of `60^(@)` . Find the number of scattered `alpha`particles pr unit area per minut e at and angle of `120^(@)`

Explanation

To solve the problem, we will use the relationship between the number of scattered alpha particles (N) and the angle of scattering (θ). According to Rutherford's experiment, the number of scattered alpha particles is inversely proportional to the sine of the angle raised to the fourth power. This can be expressed mathematically as:

\[ N \propto \frac{1}{\sin^4(\theta/2)} \]

### Step-by-Step Solution:

1. **Identify Given Values:**
- Number of scattered alpha particles at \( \theta_1 = 60^\circ \): \( N_1 = 8100 \)
...