If the formula, $X=3 Y Z^{2}, X$ and $Z$ have dimensions of capacitance and magnetic induction. The dimensions of $Y$ in $M K S Q$ system are
$\left[M^{-3} L^{-2} T^{4} Q^{4}\right]$
$\left[M L^{2} T^{8} Q^{4}\right]$
$\left[M^{-2} L^{-3} T^{2} Q^{4}\right]$
$\left[M^{-2} L^{-2} T Q^{2}\right]$
$A, B, C$ and $D$ are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation $AD = C\, ln\, (BD)$ holds true. Then which of the combination is not a meaningful quantity ?
According to Newton, the viscous force acting between liquid layers of area $A$ and velocity gradient $\Delta v/\Delta z$ is given by $F = - \eta A\frac{{\Delta v}}{{\Delta z}}$ where $\eta $ is constant called coefficient of viscosity. The dimension of $\eta $ are
$M{L^{ - 1}}{T^{ - 2}}$ represents