Homework Answers
L = distance; M = mass; T = time; R = temperature
dimension(R) = L * (M * L/T^2) / (M * R) = [(L/T)^2]/R
dimension(RT) = (L/T)^2
dimension(sqrt(kRT)) = L/T (since k is dimensionless)
dimension(Nsqrt(kRT)) = L/T (since N is dimensionless)
dimension(F) = M*L/(T^2)
Therfore dimension of 
= [M*L/(T^2)]/(L/T) = (M/T) = mass/time
It represents the change in mass of the rocket due to burning of rocket fuel.
It physically represents the mass flow rate.
Mass flow rate is the mass of a substance which passes through a given surface per unit of time.
Its unit is kiligram per second in SI i.e. kg/sec
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