Question

The dimensional formula of velocity gradient is

• A. $\left[{\text{M}}^0{\text{L}}^2{\text{T}}^{-1}\right]$
• B. $\left[{\text{M}}^0{\text{L}}^0{\text{T}}^{-1}\right]$
• C. $\left[\text{M}{\text{L}}^0{\text{T}}^{-1}\right]$
• D. $\left[\text{M}\text{L}{\text{T}}^{-1}\right]$

Answer 1

The correct option is B $\left[{\text{M}}^0{\text{L}}^0{\text{T}}^{-1}\right]$

Velocity gradient $=\frac{dv}{dx}$
$\left[\frac{dv}{dx}\right]=\frac{\left[{\text{M}}^0\text{L}{\text{T}}^{-1}\right]}{\left[\text{L}\right]}=\left[{\text{M}}^0{\text{L}}^0{\text{T}}^{-1}\right]$