An experiment similar to the Geiger-Marsden experiment is done by bombarding a 1.00-p.m-thick gold foil with 8.00-MeV alpha particles. Calculate the fraction of particles scattered at an angle
a) Between 5.00° and 6.00° and
b) Between 30.0° and 31.0°.
(The atomic mass number of gold is 197, and its density is 19.3 g/cm3.)