A new system of units is proposed in which unit of mass is α kg, unit of length is β m and unit of time is γ s. What will be value of 5J in this new system?

Joule is a unit of ernergy. SI  New system n1=5   n2=?M1=1 kg   M2=αkgL1=1 m   L2=βmT1=1 s   T2=γsDimensional formula of energy is comparing with, MaLbTc, we get a=1, b=2, c=-2 As n2=n1M1M2aL1L2bT1T2c =51kgαkg11mβm21sγs−2=5γ2αβ2=5γ2αβ2=5α−1β−2γ2