For scattering by an .inverse square. field (such as that produced by a charged nucleus in Rutherford.s model), the relation between impact parameter b and the scattering angle `theta` is given by,
`b=(Ze^(2)cot theta//2)/(4pi epsilon_(0)((1)/(2)mv^(2)))`
For a given imapct parameter b, does the angle of deflection increase or decrease with increase in energy ?

Explanation

To solve the problem, we need to analyze the relationship between the impact parameter \( b \), the scattering angle \( \theta \), and the energy of the system. We start with the given equation:

\[ b = \frac{Ze^2 \cot(\theta/2)}{4\pi \epsilon_0 \left(\frac{1}{2} mv^2\right)} \]

### Step 1: Understand the Variables
- \( b \) is the impact parameter, which is given and constant.
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