Find the dimensional formula of $\rho g v$,where $\rho = \text{density}$,$g = \text{acceleration}$,and $v = \text{velocity}$.

$A$ temperature difference can generate $e.m.f.$ in some materials. Let $S$ be the $e.m.f.$ produced per unit temperature difference between the ends of a wire,$\sigma$ the electrical conductivity and $\kappa$ the thermal conductivity of the material of the wire. Taking $\text{M, L, T, I}$ and $K$ as dimensions of mass,length,time,current and temperature,respectively,the dimensional formula of the quantity $Z=\frac{S^2 \sigma}{\kappa}$ is :-

The quantities $A$ and $B$ are related by the relation $m = A/B$,where $m$ is the linear density and $A$ is the force. The dimensions of $B$ are of

The fundamental physical quantities that have the same dimensions in the dimensional formulae of torque and angular momentum are

The dimension of angular momentum in mass $(M)$,length $(L)$ and time $(T)$ is

The dimensional formula of $\frac{1}{2}\epsilon_0 E^2$ ($\epsilon_0 = $ permittivity of vacuum and $E = $ electric field) is $M^a L^b T^c$. The value of $2a - b + c$ is . . . . . . .