Obtain the dimensions of linear momentum and surface tension in terms of velocity (v), density (rho) and frequency(nu) as fundamental units.

Obtain the dimensions of linear momentum and surface tension in terms

1.	Obtain the dimensions of linear momentum and surface tension in terms of velocity (v), density (rho) and frequency(nu) as fundamental units.
Answer» Solution :`V=[LT^(-1)],rho=[ML^(-3)],v=[T^(-1)],p=mv=[MLT^(-1)]=[ML^(-3)][LT^(-1)]^(4)[T^(-1)]^(-3)=rhov^(4)v^(-3)` Surface tension `=MT^(-2)=[ML^(-3)][LT^(-1)]^(3)[T^(-1)]^(-1)=rhov^(3)v^(-1)`