Which of the following pairs of physical quantities does not have same

1.	Which of the following pairs of physical quantities does not have same dimensional formula ?
Answer» Work and torque Angular MOMENTUM and Planck's CONSTANT Tension and surface tension Impulse and linear momentum Solution :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)]`

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