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A : Physical relations involving additio...

A : Physical relations involving addition and subtraction cannot be derived by dimensional analysis.
R : Numerical constants cannot be deduced by the methos of dimensions.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).

C

If Assertion is true statement but Reason is false, then mark (3).

D

If both Assertion and Reason are false statements, then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the assertion and reason provided in the question, we will break down the concepts involved in dimensional analysis. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that "Physical relations involving addition and subtraction cannot be derived by dimensional analysis." - Dimensional analysis is a method used to check the consistency of equations and to derive relationships between physical quantities. It is effective for operations involving multiplication and division but not for addition or subtraction. 2. **Understanding the Reason (R)**: - The reason states that "Numerical constants cannot be deduced by the method of dimensions." - When performing dimensional analysis, we can relate quantities and find their powers (exponents) but we cannot determine the numerical constants (like coefficients) that may appear in the equations. 3. **Analyzing the Relationship between A and R**: - Both the assertion and the reason are correct statements in their own right. - However, they address different aspects of dimensional analysis. The assertion focuses on the limitations of dimensional analysis with respect to addition and subtraction, while the reason discusses the inability to deduce numerical constants. 4. **Conclusion**: - Since both statements are correct but do not directly support each other, we conclude that the assertion and reason are true but unrelated. - Therefore, the correct option would be that both A and R are true, but R does not explain A. ### Final Answer: Both the assertion and reason are correct, but they are not related to each other. ---
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