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

Let the dimensional formula of surface tension be [ExVyTz].
Surface tension (S) = Force/length = (mass × acceleration)/length = (MLT-2)/L = MT-2L-1
Energy (E) = M1L2T-2
Velocity (V) = L1T-1
Time (T) = T1
Substituting the dimensions in the equation for surface tension:
MT-2L-1 = (M1L2T-2)x (L1T-1)y (T1)z
MT-2L-1 = MxL2x+yT-2x-y+z
Comparing the powers of M, L, and T on both sides:
x = 1
2x + y = -1
-2x - y + z = -2
Solving these equations:
x = 1
2(1) + y = -1 => y = -3
-2(1) - (-3) + z = -2 => z = -1
Therefore, the dimensional formula of surface tension is [E1V-3T-1] or [EV⁻³T⁻¹]