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Introduction to Physics — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsIntroduction to Physics4 Marks
Question
The dimensions $\text{ML}^{-1}\text{T}^{-2}$ may correspond to:
  1. Work done by a force.
  2. Linear momentum.
  3. Pressure.
  4. Energy per unit volume.
✓

Answer

  1. Pressure.
  2. Energy per unit volume.
Explantion:

$\text{[Work done] = [ML}^2\text{ T}^{-2}]$

$\text{[Linear momentum] = [MLT}^{-1}]$

$\text{[Pressure] = [ML}^{-1}\text{T}^{-2}]$

$\text{[Energy per unit volume] = [ML}^{-1}\text{T}^{-2}]$

From the above, we can see that pressure and energy per unit volume have the same dimension, i.e., $\text{ML}^{-1}\text{T}^{-2}.$

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