The intensity of cosmic ray radiation decreases rapidly with increasing energy, but there are occasionally extremely energetic cosmic rays that create a shower of radiation from all the particles they create by striking a nucleus in the atmosphere as seen in the figure given below. Suppose a cosmic ray particle having an energy of 1010 GeV converts its energy into particles with masses averaging 200 MeV/C2.

(a) How many particles are created?

(b) If the particles rain down on a 1.00 - km2 area, how many particles are there per square meter?