The SI unit of energy is `J = kg m^2 s^(-2),` that of speed `upsilon` is `ms^(-1)` and of acceleration a is `ms^(-2)` which of the formulae for kinetic energy (K) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body).
(a) `K = m^2 upsilon^3` (b) `K = (1)/(2)m upsilon^2` (c ) K= ma
(d) `K =(3)/(16)m upsilon^2` (e ) `K = (1)/(2) m upsilon^2 +ma`