All Problems

Scattering of Particles. Rutherford-Bohr Atom

Problem 6.3

To what minimum distance will an alpha particle with kinetic energy \(T=0.40 \mathrm{MeV}\) approach in the case of a head-on collision to (a) a stationary \(\mathrm{Pb}\) nucleus; (b) a stationary free \(\mathrm{Li}^{7}\) nucleus?

Reveal Answer
(a) \(r_{\min }=0.59 \mathrm{pm}\) (b) \(r_{\min }=\left(2 Z e^{2} / T\right)\left(1+m_{\alpha} / m_{\mathrm{Li}}\right)= 0.034 pm\)