where $p =$ pressure, $\rho =$ density, $v =$ speed, $h =$ height of the liquid column, $g=$ acceleration due to gravity and $k$ is constant. The dimensional formula for $k$ is same as that for
| LIST$-I$ | LIST$-II$ |
| $(A)$ Surface tension | $(I)$ $Kg m ^{-1} s ^{-1}$ |
| $(B)$ Pressure | $(II)$ $Kg ms^{-1 }$ |
| $(C)$ Viscosity | $(III)$ $Kg m ^{-1} s ^{-2}$ |
| $(D)$ Impulse | $(IV)$ $Kg s ^{-2}$ |
Choose the correct answer from the options given below :
where $X = \frac{{{A^2}{B^{\frac{1}{2}}}}}{{{C^{\frac{1}{3}}}{D^3}}}$, will be