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

Question

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

Infinity Learn · Accepted Answer

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

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

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