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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, we need to evaluate both the assertion (A) and the reason (R) given in the statement. ### Step-by-Step Solution: 1. **Understanding Assertion (A)**: - The assertion states that "the unit of specific gravity is gram-`"cc"^(-1)`". - Specific gravity (SG) is defined as the ratio of the density of a substance to the density of water at a specified temperature (usually 4°C). - The formula for specific gravity is: \[ \text{Specific Gravity (SG)} = \frac{\text{Density of substance}}{\text{Density of water}} \] - Since specific gravity is a ratio of two densities, it is a dimensionless quantity. This means it does not have any units. Therefore, the assertion that the unit of specific gravity is gram-`"cc"^(-1)` is **false**. 2. **Understanding Reason (R)**: - The reason states that "specific gravity is the same as the density of a liquid in normal conditions". - Specific gravity is indeed related to the density of a liquid, but it is specifically the ratio of the density of that liquid to the density of water. Hence, it cannot be said that specific gravity is the same as the density of the liquid; it is a comparative measure. Therefore, the reason is also **false**. 3. **Conclusion**: - Since both the assertion and the reason are false, the correct answer is option D: Both assertion and reason are false statements. ### Final Answer: Both assertion and reason are false. ---
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