If P, Q and R are physical quantities having | vedclass

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(B) According to the principle of homogeneity of dimensions,only physical quantities with the same dimensions can be added or subtracted.$(A)$ $PQ/R$:

Vedclass · Accepted Answer

$(P-Q)/R$

Vedclass · Answer

(B) According to the principle of homogeneity of dimensions,only physical quantities with the same dimensions can be added or subtracted.$(A)$ $PQ/R$: Multiplication and division of physical quantities with different dimensions are allowed.$(B)$ $(P-Q)/R$: Since $P$ and $Q$ have different dimensions,the subtraction $(P-Q)$ is physically meaningless.$(C)$ $(PR-Q^2)/R$: Here,$PR$ and $Q^2$ must have the same dimensions for the subtraction to be valid. While $P, Q, R$ have different dimensions,specific combinations might be invalid,but $(P-Q)$ is fundamentally invalid regardless of the denominator.$(D)$ $PQ-R$: Since $PQ$ and $R$ have different dimensions,the subtraction $(PQ-R)$ is physically meaningless.However,in the context of standard multiple-choice questions,$(P-Q)$ is the most direct violation of the principle of homogeneity.

If $P, Q$ and $R$ are physical quantities having different dimensions,which of the following combinations can never be a meaningful quantity?

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