## Derive the Dimensional Formula of Specific Gravity

Specific Gravity formula is

**Specific Gravity = Density of Body/Density of Body at 4 ^{o}C**

Now

Density = Mass/Volume

Density = M/L^{3}

**So Dimensional Formula of Specific Gravity= M ^{0}L^{0}T^{0}**

Note: Specific Gravity is defined as change in Density of Body over Density of Body at 4^{o}C. Now we know that both Density of Body and Density of Body at 4^{o}C has same dimensions i.e. Mass/Volume so same units cancel each other leaving numeric value only. So Specific Gravity has no unit.

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