The most energies a-particles available to Ernest Rutherford and his colleagues for the famous Rutherford scattering experiment were 7.7 MeV. For the scattering of 7.7 MeV a-particles from 238U (initially at rest) at a scattering angle in the lab of 90o (all calculations are in the LAB system unless otherwise noted), find the following;
The recoil scattering angle of 238U.
The scattering angles of the a-particle and 238U in the CM system.
The kinetic energies of the scattered a-particle and 238U.
The impact parameter b.
The distance of closest approach rmin.
The differential cross section at 90o.
The ratio of the probabilities of scattering at 90o to that of 5o.