Question

In Rutherford scattering experiment for scattering angle of ${180}^{\circ }$ what will be the value of impact parameter?

• A. $0$
• B. $\infty$
• C. $1$
• D. Data is insufficient

Answer 1

The correct option is A $0$

$\begin{array}{c}\text{In Rutherford experiment, if impact}\\ \text{parameter is "b" and scattering angle}\\ \begin{array}{cc}b& =\frac{z_1{z}_2{e}^2}{8\pi {\epsilon }_{0}k}\cot \frac{\theta }{2}\\ \therefore \cot \frac{\theta }{2}& =\cot 90=0\\ \therefore & b=0\end{array}\end{array}$