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

\frac{(P - Q)}{R}

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P Q - R

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\frac{P Q}{R}

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\frac{(P R - Q^{2})}{R}

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Solution

The correct option is A $\frac{(P - Q)}{R}$
Since, dimensions of the given physical quantities are different i.e. $[P] \neq [Q]$
So, $P - Q$ is not meaningful.

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