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

The dimensional formula ${M^0}{L^2}{T^{ - 2}}$ stands for

Dimensional formula for the universal gravitational constant is

The focal power of a lens has the dimensions

Derive the dimensional formula for $R$ (Universal gas constant) from the equation $PV = \mu RT$.

$A$ 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 :-