If P, Q, R are physical quantities, having different dimensi... | PHYSICS - DIMENSIONS OF PHYSICAL QUANTITIES | SolveeIt | Solveeit

Today, August 18

Question

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

A

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

B

PQ – R

C

$\frac{PQ}{R}$

D

$\frac{(PR - Q^{2})}{R}$

Answer

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

Explanation

Solution

Physical quantities having different dimensions cannot be added or subtracted.

As P, Q and R are physical quantities having different dimensions, therefore they can neither be added nor be subtracted. Thus, (1) can never a meaningful quantity.