Physics

Pressure is dimensionally:

Force per unit area

Energy per unit volume

Momentum per unit area per second

SOLUTION
The pressure is defined as the force exerted per unit area.
Pressure $=\dfrac { Force }{ Area }$

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

$\Rightarrow \left[ \dfrac { Energy }{ Volume } \right] =\left[ \dfrac { { ML }^{ 2 }{ T }^{ -2 } }{ { L }^{ 3 } } \right] =\left[ { ML }^{ -1 }{ T }^{ -2 } \right]$

$\Rightarrow \left[ \dfrac { momentum }{ Area\times time } \right] =\left[ \dfrac { { MLT }^{ -1 } }{ { L }^{ 2 }T } \right] =\left[ { ML }^{ -1 }{ T }^{ -2 } \right]$

The dimension of the momentum per unit volume is not the same as that of pressure. So, option $A,B$ and $C$ are correct.

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Multiple Correct Medium Published on 18th 08, 2020
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