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STATEMENTS-1 : Specific gravity is dimen...

STATEMENTS-1 : Specific gravity is dimensionless.
STATEMENTS-2 : Specific gravity is density of a substance measured w.r.t. density of water at `4^(@)C`.

A

If both the statement are TRUE and STATEMENT -2 is the correct explanation of STATEMENT-1

B

If both the statement are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1

C

If STATEMENT- is 1 TRUE and STATEMENT-2 is FALSE

D

If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements regarding specific gravity, let's break down the concepts step by step. ### Step 1: Understanding Specific Gravity Specific gravity is defined as the ratio of the density of a substance to the density of a reference substance, typically water at 4°C. ### Step 2: Evaluating Statement 1 **Statement 1:** "Specific gravity is dimensionless." - Since specific gravity is a ratio of two densities (density of the substance / density of water), the units of density (mass/volume) cancel out. Therefore, specific gravity does not have any units and is considered dimensionless. ### Step 3: Evaluating Statement 2 **Statement 2:** "Specific gravity is density of a substance measured w.r.t. density of water at 4°C." - This statement is accurate. Specific gravity is indeed calculated by comparing the density of a substance to the density of water at its maximum density, which occurs at 4°C. ### Step 4: Conclusion Both statements are correct: - Statement 1 is correct because specific gravity is dimensionless. - Statement 2 is correct because it accurately describes how specific gravity is defined. ### Final Answer Both statements are true, and Statement 2 correctly explains Statement 1. Therefore, the answer is A (both statements are correct). ---
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