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1. units,dimensions and measurement — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics1. units,dimensions and measurement1 Mark
MCQ
$A, B, C$ and $D$ are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation $AD = C\, ln\, (BD)$ holds true. Then which of the combination is not a meaningful quantity ?
  • A
    $\frac{C}{{BD}} - \frac{{A{D^2}}}{C}$
  • B
    ${A^2} - {B^2}{C^2}$
  • C
    $\frac{A}{B} - C$
  • ✓
    $\frac{{\left( {A - C} \right)}}{D}$
✓

Answer

Correct option: D.
$\frac{{\left( {A - C} \right)}}{D}$
d
Dimension of $A \ne $ dimension of $(C)$ Hence $A - C$ is not possible

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