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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
In the equation $\left[X+\frac{a}{Y^2}\right][Y-b]= R T, X$ is pressure, $Y$ is volume, $R$ is universal gas constant and $T$ is temperature. The physical quantity equivalent to the ratio $\frac{a}{b}$ is
  • ✓
    Energy
  • B
    Impulse
  • C
    Pressure gradient
  • D
    Coefficient of viscosity
✓

Answer

Correct option: A.
Energy
a
$X$ and $\frac{a}{Y^2}$ have same dimensions

$Y$ and $b$ have same dimensions

$\therefore[a] =\left[ ML ^5 T ^{-2}\right]$

${[b] } =\left[ L ^3\right]$

$\frac{[a]}{[b]} =\left[ ML ^2 T ^{-2}\right] \text { has dimensions of energy }$

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