MCQ
The dimensions $\text{ML}^{-1}\text{T}^{-2}$ may correspond to:
- AWork done by a force.
- BLinear momentum.
- ✓Pressure and Energy per unit volume.
- DNone of these
✓
Answer
Correct option: C.
Pressure and Energy per unit volume.
$[$Work done$] = \text{[ML}^2\text{ T}^{-2}]$
$[$Linear momentum$] = \text{[MLT}^{-1}]$
$[$Pressure$] = \text{[ML}^{-1}\text{T}^{-2}]$
$[$Energy per unit volume$] = \text{[ML}^{-1}\text{T}^{-2}]$
From the above, we can see that pressure and energy per unit volume have the same dimension, i.e., $\text{ML}^{-1}\text{T}^{-2}.$
$[$Linear momentum$] = \text{[MLT}^{-1}]$
$[$Pressure$] = \text{[ML}^{-1}\text{T}^{-2}]$
$[$Energy per unit volume$] = \text{[ML}^{-1}\text{T}^{-2}]$
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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