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