A and B have different dimensions. Then which of the following relation will be meaningful?

A and B have different dimensions. Then which of the following relation will be meaningful?
  1. $\left[\frac{A}{B}\right]$
  2. $[A-B]$
  3. $[A+B]$
  4. $\left[e^{A / B}\right]$

Solution

A and B have different dimensions. Hence, only A and $\mathrm{B}$ in a ratio form and is meaningful. ^

Asked in: JEE Mains - Units and Dimensions - Test 1

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