Dimensionally valid operations – Rankers Physics

Dimensions: Practice Problem & Solution

Two physical quantities \(P\) and \(Q\) have different dimensions. The mathematical operation that is not possible among the following are
\(\frac{P}{Q}\)
\(PQ\)
\(P + Q\)
Both (1) and (2)

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

According to the principle of homogeneity of dimensions, only quantities with identical dimensions can be added or subtracted. Multiplication and division of different physical quantities are allowed.

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