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A: Unit of specific gravity is gram-"cc"...

A: Unit of specific gravity is gram-`"cc"^(-1)`
R: Specific gravity is same as density of a liquid in normal conditions

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion

C

If Assertion is true statement but Reason is false

D

If both Assertion and Reason are false statements

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason provided, we will analyze both statements step by step. ### Step 1: Analyze the Assertion The assertion states: "Unit of specific gravity is gram-`"cc"^(-1)`." - Specific gravity is defined as the ratio of the density of a substance to the density of a reference substance (usually water). - The formula for specific gravity (SG) is: \[ SG = \frac{\text{Density of substance}}{\text{Density of water}} \] - Since specific gravity is a ratio of two densities, it is unitless. Therefore, the assertion that the unit of specific gravity is gram-`"cc"^(-1)` is **incorrect**. ### Step 2: Analyze the Reason The reason states: "Specific gravity is the same as density of a liquid in normal conditions." - Specific gravity is indeed related to the density of a liquid, but it is not the same. Specific gravity is the density of the liquid divided by the density of water (which is approximately 1 g/cc at 4°C). - Therefore, while specific gravity can be numerically equal to the density of the liquid when the density of water is considered, it is not accurate to say they are the same without mentioning the reference to water. - Thus, the reason is also **incorrect**. ### Conclusion Both the assertion and the reason are incorrect. Therefore, the correct option is: **Option 4: Both statements are false.** ---
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