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

(P - Q) / R

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P Q - R

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P Q / R

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(P R - Q^{2}) / R

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Solution

The correct option is A $(P - Q) / R$
As per the principle of homogeneity of dimension, addition subtraction or equality between two quantities of different dimensions are not possible while division and multiplication are possible.
Hence option A is correct.

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