Presure gradient has the ssame dimension as that of

Options

A. Velocity gradient
B. Potential gradient
C. Energy gradient
D. None of these

Answer

d

Explanation

Velocity gradient `= (v)/(x) = [LT^(-1)]/([L]) = [T^(-1)]`
Potential gradient `= (V)/(x) = ([ML^(2)T^(-3)A^(-1))/([L]))`
`= [MLT^(-3)A^(-1)]`
Energy gradient `= (E)/(x) = ([ML^(2)T^(2)])/([L]) = [MLT^(-2)]`
and pressure gradient
`= (P)/(x) = ([ML^(-1)T^(-2)])/([L]) = [ML^(-2)T^(-2)]`