Which of the following pairs of physical quantities does not have same dimensional formula ?

Options

A. Work and torque
B. Angular momentum and Planck's constant
C. Tension and surface tension
D. Impulse and linear momentum

Explanation

Work = fore `xx` distance `=[M^(1)LT^(-2)][L^(1)][M^(1)L^(2)T^(-2)]`
Torque = force `xx` distance `=[M^(1)L^(2)T^(1)[L^(1)]`
(b) Angular momentum `=mvr[M^(1)][L^(1)T^(1)][L^(1)]`
`=[M^(1)L^(2)T^(-1)]`
Plank.s constant `=(E)/(V) ([M^(1)L^(2)T^(-2)])/([T^(-1)])=[M^(1)L^(0)T^(-2)]`
(c) Tension force `=[M^(1)L^(2)T^(-1)]`
Surface tension `=("force")/("length")=([M^(1)L^(1)T^(-2)])/([L])=[M^(1)L^(0)T^(-2)]`
(d) Impulse =force `xx` time `[M^(1)L^(1)T^(-2)][T]=[M^(1)LT^(-1)]`
Momentum = mass `xx` velocity `=[M^(1)][L^(1)T^(-1)]`
`[M^(1)L^(1)T^(-1)]`