Frequency is the function of density $(\rho )$, length $(a)$ and surface tension $(T)$. Then its value is
$k{\rho ^{1/2}}{a^{3/2}}{\bf{/}}\sqrt T $
$k{\rho ^{3/2}}{a^{3/2}}/\sqrt T $
$k{\rho ^{1/2}}{a^{3/2}}/{T^{3/4}}$
$k{\rho ^{1/2}}{a^{1/2}}/{T^{3/2}}$
The physical quantity which has the dimensional formula ${M^1}{T^{ - 3}}$ is
Dimensional Formula of Universal Gas Constant is
The foundations of dimensional analysis were laid down by
Given below are two statements :
Statement $(I)$ : Dimensions of specific heat is $\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]$
Statement $(II)$ : Dimensions of gas constant is $\left[\mathrm{ML}^2 \mathrm{~T}^{-1} \mathrm{~K}^{-1}\right]$
Of the following quantities, which one has dimensions different from the remaining three