(a) In an alpha-gold foil nuclear scattering experiment, a pulse of alpha particles of 8 MeV and current of 1 nano Ampere impinges on the gold foil of thickness 1 micron. Assuming any reasonable values for the nuclear and gold charge density, determine the number of alpha particles scattered per second into a detector centered at 0 = 1/2? centered at 0 = 1/2 with following geometry: do 10-3 rad and do 10-3 rad. = =