Question

What is the dimension of velocity gradient?

• A. $\left[M^0{L}^0{T}^{-1}\right]$
• B. $\left[M{L}^{-1}{T}^{-1}\right]$
• C. $\left[M{L}^3{T}^{-2}\right]$
• D. $\left[M^2{L}^2{T}^{-2}\right]$

Answer 1

Answer: (A)

Velocity gradient $=\frac{dv}{dy}$
Where $dv$ is the change in velocities of two layers of liquid separated by depth $dy$ .
So $\left[\frac{dv}{dy}\right]=\frac{L{T}^{-1}}{L}=T^{-1}$