If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be:

If energy (E), velocity (V) and time (T) are chosen as the fundamental

1.	If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be:
Answer» `[EV^(-2)T^(-1)]` `[EV^(-1)T^(-2)]` `[EV^(-2)T^(-2)]` `[E^(-2)V^(-1)T^(-3)]` Solution :Applying dimensional analysis `Sprop E^(a)V^(b)T^(c)` `M^(1)L^(0)T^(-2)=k[M^(1)L^(2)T^(-2)]^(a)[L^(1)T^(-1)]^(b)[T^(1)]^(c)` `M^(1)L^(0)T^(-2)=k[M^(a)L^(2a)T^(-2a)]L^(b)T^(-b)T^(c)` Comparison `..........` `c=-2` So the dimensional FORMULA for surface tension will be `[E^(1)V^(-1)V^(-2)]` Alternate solution : Surface tension `=("Surface energy")/("Area")` [Surface tension] `=([E])/([VT]^(2))=[EV^(-2)T^(-2)]`