Which of the following does not have dimensions of force?

Options

A. Potential gradient
B. Energy gradient
C. Weight
D. Rate of change of momentum

Answer

A

Explanation

Force `= [M^(1)L^(1)T^(-2)]`
Weight = mg = `[M][L^(1)T^(-2)] = [M^(1)L^(1)T^(-2)]`
Enery gradient `= ([M^(1)L^(2) T^(-2)])/([L^(1)]) = [M^(1)L^(1)T^(-2)]` ltBrgt Potential gradient = `-(dv)/(dx)`
`" "= ([M^(1)L^(2)T^(-3)A^(-1)])/([L^(1)]) = [M^(1)L^(1) T^(-3)A^(-1)]`