All Problems

Scattering of Particles. Rutherford-Bohr Atom

Problem 6.10

A narrow beam of alpha particles with kinetic energy \(T\) \(=0.50 \mathrm{MeV}\) and intensity \(I=5.0 \cdot 10^{5}\) particles per second falls normally on a golden foil. Find the thickness of the foil if at a distance \(r=15 \mathrm{~cm}\) from a scattering section of that foil the flux density of scattered particles at the angle \(\theta=60^{\circ}\) to the incident beam is equal to \(J=40\) particles \(/\left(\mathrm{cm}^{2} \cdot \mathrm{s}\right)\)

Reveal Answer
d=(4Jr2T2/nIZ2e4)sin4(θ/2)=1.5μm, where n is the concentration of nuclei.d=\left(4 J r^{2} T^{2} / n I Z^{2} e^{4}\right) \sin ^{4}(\theta / 2)=1.5 \mu \mathrm{m}, \text { where } n \text { is the concentration of nuclei.}