Question

Statement – 1: Specific gravity is dimensionless.
Statement – 2: Specific gravity is density of a substance measured with respect to density of water at $4^{\circ }\text{C}$.

• A. Both the statements are true and statement - 2 is the correct explanation of statement - 1
• B. Both the statements are true and statement - 2 is not the correct explanation of statement - 1
• C. Statement - 1 is true and statement - 2 is false.
• D. Statement - 1 is false and statement - 2 is true.

Answer 1

The correct option is A Both the statements are true and statement - 2 is the correct explanation of statement - 1

The specific gravity of a substance is defined as the density of the substance divided by the density of water at $4^{\circ }\text{C}$. Therefore, the units of density cancel each other, and the term specific gravity becomes dimensionless quantity.
$\text{Specific gravity}=\frac{\text{Density of substance}}{\text{Density of water at}{4}^{\circ }\text{C}}$
Therefore, both statement-1 and statement-2 are correct and statement-2 is the correct explanation of statement-1.