In an `alpha`-particle scattering experiment , 100 particles are scattered per minute at an angle of `60^@` . Calculate the number of particles per minute scattered at an angle of `30^@`

Explanation

To solve the problem of calculating the number of alpha particles scattered at an angle of \(30^\circ\) when \(100\) particles are scattered at an angle of \(60^\circ\), we will use the relationship derived from the scattering theory. The number of particles scattered at an angle \(\theta\) is inversely proportional to \(\sin^4(\theta/2)\).

### Step-by-Step Solution:

1. **Understand the Relationship**:
The number of particles scattered, \(N\), is given by:
\[
N \propto \frac{1}{\sin^4(\theta/2)}
...