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 energy of the projectile, does the scattering angle increase or decrease with dec rease in impact parameter ?

Explanation

To solve the problem, we need to analyze the relationship between the impact parameter \( b \) and the scattering angle \( \theta \) as given by the equation:

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

### Step-by-Step Solution:

...