If A and B are two quantities with different non-zero dimensions then which of the following operation may be valid?
1.A+B
2.A-B
3.A²+ B²
4.A²+ B
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Answer:
The final answer is
OPTION 3: A²+ B²
Explanation:
Given : A and B are two quantities with different non-zero dimensions.
To Find : Which operation is valid.
Explanation :
According to the Principle of Homogeneity, the dimensions of all the terms in a physical expression would be the same, and only the physical quantities of the same kind can be added, subtracted, or compared.
So, for different dimension addition and subtraction is not possible. But for the square part, it will be added because two same dimensions are repeated two times before adding.
So, Option 3 is correct.
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