Question

Pressure is defined as momentum per unit volume is it true. justify.

Answer 1

Let us assume that pressure = linear momentum/volume
Pressure = mass* velocity   / volume (where momentum=mass*velocity)
Unit of Pressure = Kgm
or
Kg-----------------(1)

By the definition of pressure:
Pressure = Force/Area
Unit of pressure = Kgm
or
Kg----------------(2)

Since 1 is not equal to 2
Pressure is not a linear momentum per unit volume.
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Answer 2

$\huge\textbf{Answer}$


Pressure = mv/Volume

= [M¹L¹T-¹]/[L³-]

= [M¹L²-T¹-]


Pressure = Thrust/Area

= [M¹L¹T²-]/[L²-]

= [M¹L¹-T²-]


So, the answer is No.