Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Two quantities 
and 
have different dimensions. Which operation is physically
meaningful?
A
B
C
D
none of these
Text Solution
Verified by ExpertsThe correct answer is:
D
Step 1: Analyze the dimensions of the quantities A and B.
Step 2: Identify the operations:
- A + B: This operation is only meaningful if both A and B have the same dimensions.
- A - B: Similar to addition, subtraction is also valid only if dimensions match.
- A x B: This multiplication may be valid if A and B have compatible dimensions (e.g., a length and a width producing an area).
Step 3: Since the problem states that A and B have different dimensions, none of the operations that require matching dimensions (addition and subtraction) are valid. The multiplication operation may or may not be valid based on the specific dimensions, but without knowing them, we cannot assume it's meaningful.
Therefore, the correct option is D: none of these.
Step 2: Identify the operations:
- A + B: This operation is only meaningful if both A and B have the same dimensions.
- A - B: Similar to addition, subtraction is also valid only if dimensions match.
- A x B: This multiplication may be valid if A and B have compatible dimensions (e.g., a length and a width producing an area).
Step 3: Since the problem states that A and B have different dimensions, none of the operations that require matching dimensions (addition and subtraction) are valid. The multiplication operation may or may not be valid based on the specific dimensions, but without knowing them, we cannot assume it's meaningful.
Therefore, the correct option is D: none of these.
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