Q. Pressure gradient has the same dimension as that of

A) Velocity gradient
B) Potential gradient
C) Energy gradient
D) None of these
Explanation

Velocity gradient $= \frac{v}{x} = \frac{\lbrack LT^{- 1}\rbrack}{\lbrack L\rbrack} = \lbrack T^{- 1}\rbrack$ Potential gradient $= \frac{V}{x} = \frac{\left\lbrack ML^{2}T^{- 3}A^{- 1} \right\rbrack}{\lbrack L\rbrack} = \left\lbrack MLT^{- 3}A^{- 1} \right\rbrack$ Energy gradient $= \frac{E}{x} = \frac{\lbrack ML^{2}T^{2}\rbrack}{\lbrack L\rbrack} = \lbrack MLT^{- 2}\rbrack$ And pressure gradient $= \frac{P}{x} = \frac{\lbrack ML^{- 1}T^{- 2}\rbrack}{\lbrack L\rbrack} = \lbrack ML^{- 2}T^{- 2}\rbrack$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.