Consider the scattering of an alpha particle from the positively charged part of the Tho...

Consider the scattering of an alpha particle from the positively charged part of the Thomson plum-pudding model. Let the kinetic energy of the α particle be K (nonrelativistic) and let the atomic radius be R. (a) Assuming that the maximum transverse Coulomb force acts on the α particle for a time Δt = 2R/v (where v is the initial speed of the α particle), show that the largest scattering angle we can expect from a single atom is

(b) Evaluate θ for an 8.0-MeV α particle scattering from a gold atom of radius 0.135 nm.