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

If energy E, velocity v and time T are chosen as th e fundamental quan

1.	If energy E, velocity v and time T are chosen as th e fundamental quantities. Find dimensional formula of surface tension?
Answer» Solution :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)`