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Two equal qualities A and B have different dimensions.which mathematical operation given below is physically meaningful? 1) A/B 2) A B 3) A-B 4) None?
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Two equal qualities A and B have different dimensions.which mathematic...
Physically Meaningful Mathematical Operations for Qualities with Different Dimensions

When two qualities have different dimensions, it means that they cannot be added or subtracted directly. For instance, we cannot add 2 meters to 3 kilograms. Therefore, we need to use mathematical operations that are physically meaningful and consistent with the laws of physics. The following are the physically meaningful mathematical operations for qualities with different dimensions:


  1. A/B: This operation is physically meaningful since it gives us a ratio of one quality to another. For example, if A is distance and B is time, then A/B would give us a velocity, which is physically meaningful.

  2. A*B: This operation is not physically meaningful since it would result in a quantity that has the dimensions of both A and B. For instance, if A is distance and B is time, then A*B would result in a quantity with dimensions of distance*time, which is not physically meaningful.

  3. A-B: This operation is physically meaningful only if A and B have the same dimensions. For instance, if A is distance and B is also distance, then A-B would give us a difference in distance, which is physically meaningful. However, if A is distance and B is time, then A-B is not physically meaningful.

  4. None: If none of the above operations is physically meaningful, then we cannot use any mathematical operation to combine the two qualities.



In conclusion, the physically meaningful mathematical operations for qualities with different dimensions are A/B and A-B (if A and B have the same dimensions). It is important to use physically meaningful operations to ensure that our calculations are consistent with the laws of physics and have practical applications.
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Two equal qualities A and B have different dimensions.which mathematic...
A/B
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Two equal qualities A and B have different dimensions.which mathematical operation given below is physically meaningful? 1) A/B 2) A B 3) A-B 4) None?
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