A narrow beam of alpha particles with kinetic energy `T== 0.50 MeV` falls normally on a golden foil whose t=mass of thickness is `rho d= 1.5 mg//cm^(2)` The beam intensity is `I_(0)= 5.0.10^(5)` particles per second. Find the number of alpha particles scattered by the foil during the time interval `tau=30` m in into the angular interval:
(a) `59-61^(@)` , (b) over `theta_(0)=60^(@)`.