Vertical beam of mercury (Hg atomic mass =202u) atoms emerges from the oven kept at T= 400K. Consider three atoms, emerging from the oven: one with the average speed, one with the rms speed, and the other with the most probable speed of the Maxwellian distribution

a) Find the speeds of each atom as they emerge from the oven
b) Find the maximum vertical position reached the fastest atom
c) Find the distance between highest positions fastest of the three and the slowest of the three atoms