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Question: Answered & Verified by Expert
If $P, Q, R$ are physical quantities, having different dimensions, which of the following combinations can never be a meaningful quantity?
PhysicsUnits and Dimensions
Options:
  • A
    $(P-Q) / R$
  • B
    $P Q-R$
  • C
    $P Q / R$
  • D
    $(R+Q) / P$
Solution:
2547 Upvotes Verified Answer
The correct answers are:
$(P-Q) / R$
In option (a) there is term used $(P-Q)$ and $(R+Q)$ but $P, Q$ and $R$ are having different dimensions (or different physical quantities) hence they cannot be added or subtracted, so we can say that (a) is not meaningful. We cannot say about the dimension of product of these quantities, hence (b), (c) and (d) may be meaningful.

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