Question

Dimensions of pressure gradient are

• A. $\left[\text{M}{\text{L}}^{–3}{\text{T}}^{–2}\right]$
• B. $\left[\text{M}{\text{L}}^{–2}{\text{T}}^{–2}\right]$
• C. $\left[\text{M}{\text{L}}^{–4}{\text{T}}^{–2}\right]$
• D. $\left[\text{M}\text{L}{\text{T}}^{–4}\right]$

Answer 1

The correct option is B $\left[\text{M}{\text{L}}^{–2}{\text{T}}^{–2}\right]$

[Pressure gradient] $=\left[\frac{P}{L}\right]$
$=\left[\frac{F}{A\times L}\right]=\left[\frac{{\text{MLT}}^{-2}}{{\text{L}}^2\text{L}}\right]$
$=\left[{\text{ML}}^{–2}{\text{T}}^{–2}\right]$