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

detailed solution

Correct option is A

Let S=kEaVbTcwhere k is a dimensionless constant. Writing the dimensions on both sides, we getM1 L0 T-2=ML2 T-2aLT-1b[ T]c                  =Ma L2a+b T-2a-b+c Applying principle of homogeneity of dimensions, we get a = 1                        . . . . (i)2 a + b = 0                                                       . . . . (ii)-2 a - b + c = - 2                                             . . . . . (iii) Adding (ii) and (iii), we get c = - 2 From (ii), b=-2a=-2∴  S=kEV-2T-2or [S]=EV-2 T-2