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

Options

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

Answer

C

Explanation

`(a)"Work"="force"xx"distance"=[MLT^(-2)][L][ML^(2)T^(-2)]`
`"Torque"="force"xx"distance"=[ML^(2)T^(-2)]`
`(b)"Angular momentum"="mvr"=[M][LT^(1)][L][ML^(2)T^(-1)]`
`"Planck's constant "=E/V=([Ml^(2)T^(-2)])/([T^(-1)])=[ML^(2)T^(-1)]`
`(c)"Tension"="force"=[MLT^(-2)]`
`"Surface tansion"=("force")/("length")=([MLT^(-2)])/([L])=[ML^(0)T^(-2)]`
`(d)"Impulse"="force"xx"time"=[MLT^(-2)][T]=[MLT^(-1)]`
`"Momentum"="mass"xx"velocity"=[M][LT^(-1)]=[MLT^(-1)]`