If energy `E`, velocity `v` and time `T` are taken as fundamental quanties, the dimensional formula for surface tension is

Options

A. `[EV^(-2)T^(-1)]`
B. `[EV^(-1)T^(-2)]`
C. `[EV^(-2)T^(-2)]`
D. `[E^(-2)V^(-1)T^(-3)]`

Answer

C

Explanation

Surface tension `=(F)/(l)=(F*l)/(l^2)=(E )/(l^2)(t^(-2))/(t^(-2))`
`=(ET^(-2))/(L^(2)T^(-2))=(ET^(-2))/([V]^2)=[EV^(-2)T^(-2)]`