What is the dimensional formula for pressure gradient?

Options

A. `[M^(1)L^(2)T^(-1)]`
B. `[M L^(-2)T^(-2)]`
C. `[M^(-2)L^(-2)T^(0)]`
D. `[M^(0)L^(2)T^(-2)]`

Answer

b

Explanation

Pressure gradient
`=("Difference in pressure")/("Distance between the two points")=(dP)/(dx)`
`therefore ["Pressure gradient"]=[(dP)/(dx)]=[(F//A)/(L)]=[(M^(1)L^(1)T^(-2))/(L^(2)xxL)]`
`=[M^(1)L^(-2)T^(-2)]`