Chapter 8, Problem 112P

(a)

To determine

The proof that the kinetic energy of the nucleus after collision is given by $K_{\text{nucleus}}=\left[4mM/{\left(m+M\right)}^2\right]K_{\text{n}}$ .

(b)

To determine

The proof that the fractional change in the kinetic energy of the neutron is given by $\frac{\Delta K_{\text{n}}}{K_{\text{n}}}=-\frac{4\left(m/M\right)}{{\left(1+\left[m/M\right]\right)}^2}$ .

(c)

To determine

The proof that the equation give plausible result for $m<<M$ and $m=M$ .