The velocity, acceleration and force in two systems of units are related as under: (i) v′=α2βv    (ii) a′=(αβ)a   (iii) F′=1αβFAll the primed symbols belong to one system and unprinted ones belong to the other system. α and β arc dimensionless constants. Which of the following is/are correct?

Velocity = length/time, acceleration = length/(time)2⇒  Length =( velocity )2 acceleration   i.e.,  L′=v′2a′,L=v2a⇒ L′L=v′v2aa′=α2β21αβ=α3/β3Now, m′=F′a′,m=Fam′m=F′Faa′=1αβ×1αβ=1α2β2Time = velocity / acceleration, i.e.,T′=v′a′ and T=vaT′T=v′vaa′=α2β1αβ=αβ2Momentum = mass x velocityp′=m′v′,P=mv,p′p=m′mv′v=1α2β2α2βα2β=1β3