Question

Dimensions of pressure are same as that of:

• A. energy
• B. force
• C. energy per unit volume
• D. force per unit volume

Answer 1

The correct option is C energy per unit volume

Dimension of Pressure,

Pressure= $\frac{F}{A}\Rightarrow N{m}^{-2}$

Dimensional formula of Pressure= $M{L}^{-1}{T}^{-2}$

Energy= work= Force $\times$ Displacement

Unit= $kgm/s^2=M{L}^2{T}^{-2}$

Energy per unit volume= $\frac{M{L}^2{T}^{-2}}{L^3}$

$=M{L}^{-1}{T}^{-2}$

So, answer is option C.