In SI system, the magnitude work done is joule. In another system, where the fundamental physical quantities are in gram, centimetre and second, themagnitude of work is

Joule is SI unit of work. The dimensions of work in SI.=[W1]=[M1L12T1−2]But erg is CGS unit of work. The dimensions of work inCGS unit =[W2]=[M2L22T2−2]As, n1(u1)=n2(u2)or n1[M1L12T1−2]=n2[M2L22T2−2]Here, M1=kg,  L1=m,  T1=sM2=g,  L2=cm,  T2=sM1=1000  M2,L1=100  L2T1=T2   and  n=1∴          n2=n1[M1M2][L1L2]2[T1T2]−2=1[1000  M2M2][100  L2L2]2[T1T2]2=107∴      1  joule=107  erg