Question

The dimensional formula of velocity gradient is

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

Answer 1

Answer: (A)

$\left[M^0{L}^0{T}^{-1}\right]$

Velocity Gradient $V$ is defined as rate of change in velocity per unit of distance. Mathematically, Velocity Gradient= velocity/distance.
Dimensionally $V=\frac{\left[M^0{L}^1{T}^{-1}\right]}{\left[L\right]}=\left[M^0{L}^0{T}^{-1}\right]$