Alpha particles of energy 8.4 MeV are incident on a silver foil of thickness 6.5 x 10-6 m. For a certain value of the impact parameter, the alpha particles lose exactly half their incident kinetic energy when they reach their minimum separation from the nucleus. Find the minimum separation, the impact parameter, and the scattering angle.

Alpha particles of energy 8.4 MeV are incident on a silver foil of thickness 6.5 x 10-6 m. For a certain value of the impact parameter, the alpha particles lose exactly half their incident kinetic energy when they reach their minimum separation from the nucleus. Find the minimum separation, the impact parameter, and the scattering angle.