Question
The dimensions $\text{ML}^{-1}\text{T}^{-2}$ may correspond to:
- Work done by a force.
- Linear momentum.
- Pressure.
- Energy per unit volume.
✓
Answer
- Pressure.
- 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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