Two quantities $\mathrm{A}$ and $\mathrm{B}$ have same dimensions which mathematical operation given below…

Two quantities $\mathrm{A}$ and $\mathrm{B}$ have same dimensions which mathematical operation given below is physically meaningful?
  1. A/B
  2. $\mathrm{A}+\mathrm{B}^{2}$
  3. $A^{2}-B$
  4. $\mathrm{A}=\mathrm{B}^{2}$

Solution

$[\mathrm{A}] \neq\left[\mathrm{B}^{2}\right]$ so, cannot be added or subtracted .

Asked in: JEE Mains - Units and Dimensions - Test 3

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