1)In the lectures, we showed that the form factor F(g) is the 3-D Fourier transform of the normalised charge distribution p(r) F(q)=\int \rho(\boldsymbol{r}) e^{i \boldsymbol{q} \cdot \boldsymbol{r} / \hbar} d^{3}

\boldsymbol{r} For a simplified model of a proton's charge distribution, \rho(r)=C \frac{e^{-r / R}}{r} i) Find the constant of proportionality C required to normalize p correctly. ii) Show that F(q)=\frac{1}{1+\frac{q^{2} R^{2}}{\hbar^{2}}} You must show full working for the problems. All of the integrals required in the course areones which you should be able to evaluate yourself. You should not use "standard" integralsfrom the internet, text books or other sources, but rather use the standard integrals that appearon the exam formula sheet. (One of the main purposes of the homeworks is to prepare you forsimilar questions in the examination