All Problems Scattering of Particles. Rutherford-Bohr Atom
Problem 6.12
A narrow beam of alpha particles with kinetic energy \(T\) \(=0.50 \mathrm{MeV}\) falls normally on a golden foil whose mass thickness is \(\rho d=1.5 \mathrm{mg} / \mathrm{cm}^{2} .\) The beam intensity is \(I_{0}=5.0 \cdot 10^{5}\) particles per second. Find the number of alpha particles scattered by the foil during a time interval \(\tau=30 \mathrm{~min}\) into the angular interval: (a) \(59-61^{\circ}\) (b) over \(\theta_{0}=60^{\circ}\)
(a) \(1.6 \cdot 10^{6}\) (b) \(N=\pi n d\left(Z e^{2} / T\right)^{2} \cot ^{2}\left(\theta_{0} / 2\right) I_{0} \tau=2.0 \cdot 10^{7}\)