Published by:
CGP EDU Academic Team
Published on: September 13, 2026
Two quantities
and
have different dimensions. Which operation is physically
meaningful?
Text Solution
Verified by ExpertsThe correct answer is:
D
Step 1: Analyze the dimensions of the given quantities. The operations presented include addition, subtraction, and multiplication of two different dimensional quantities, which are generally not meaningful in physics.
Step 2: Both addition (A + B) and subtraction (A - B) cannot be performed on quantities with different dimensions.
Step 3: The multiplication (A × B) of two quantities of different dimensions can yield a new quantity, but it depends on the physical context. However, generally, operations involving different dimensions are either meaningless or need additional conversion context.
Conclusion: Given that none of the operations listed have a standard meaning under the laws of physics when applied directly to quantities with different dimensions, the correct answer is D: none of these.
Step 2: Both addition (A + B) and subtraction (A - B) cannot be performed on quantities with different dimensions.
Step 3: The multiplication (A × B) of two quantities of different dimensions can yield a new quantity, but it depends on the physical context. However, generally, operations involving different dimensions are either meaningless or need additional conversion context.
Conclusion: Given that none of the operations listed have a standard meaning under the laws of physics when applied directly to quantities with different dimensions, the correct answer is D: none of these.
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