If energy E, velocity v and time T are chosen as th e fundamental quantities. Find dimensional formula of surface tension?

Explanation

Surface Tension , `S =MT^(-2)`
Energy , `E=ML^(2)T^(2)`, Velocity, `v=LT^(-1)`, Time ,`t=T^(1)`
`:. S. alpha (E)^(a) (v)^(b)(t)^(c)`and
`MT^(-2)=(ML^(2)T^(-2))^(a)(LT^(-1))(T)^(c)`
Comparing power of M,L and T on either side
`a=1, 2a+b=0rArr b=-2`
`-2a-b+c=-2 rArr c=-2`
`:. S.=E^(1) (V)^(-2)(T)^(-2)`