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Q. Assertion : Specific gravity of a fluid is a dimensionless quantity.
Reason : It is the ratio of density of fluid to the density of water.

AIIMSAIIMS 2005Mechanical Properties of Fluids

Solution:

The specific gravity or relative density is defined as the ratio of the density of the substance to the density of water at $4^{\circ} C$. Since specific gravity is a pure ratio, it has no unit and hence, no dimensions.