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
$\left[M^{-3} L^{-2} T^{4} Q^{4}\right]$
$\left[M L^{2} T^{8} Q^{4}\right]$
$\left[M^{-2} L^{-3} T^{2} Q^{4}\right]$
$\left[M^{-2} L^{-2} T Q^{2}\right]$
With the usual notations, the following equation ${S_t} = u + \frac{1}{2}a(2t - 1)$ is
If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities, then express mass, length and time in terms of dimensions of these quantities.
If energy $(E),$ velocity $(V)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be
An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimension of constant of proportionality is
If velocity$(V)$, force$(F)$ and time$(T)$ are chosen as fundamental quantities then dimensions of energy are