The velocity distribution of molecules in a beam coming out of a hole in a vessel is described by the function F (v) = Av3e–mv2/2hT, where T is the temperature of the gas in the vessel. Find the most probable values of
(a) The velocity of the molecules in the beam; compare the result obtained with the most probable velocity of the molecules in the vessel;
(b) The kinetic energy of the molecules in the beam.