The density of mercury is 13.9 g/cm cube in cgs system. Find its value in SI units by dimensional application.

Density of mercury in c. g. s. units is 13.6g/cc.    The dimensional formula of density is             ML-3T0Let the numerical value of density of mercury in SI units is n.Therefore       n  M1L1-3T10=13.6  ML-3T0or                     n=13.6×  ML-3T0M1L1-3T10=13.61g1Kg×1cm1m3×1s1sor                     n=13.6×1Kg1000Kg×1m100m-3×1s1sor                     n=13.6×11000×100×100×1001×1=13600Kg/m3Therefore the value of density of mercury in SI units is 13600Kg/m3.

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