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 . . . . . . .

$A$ 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 dimensional formula of $\varepsilon_r$ is .......

The dimensional formula for angular momentum is

Dimensional formula for activity of radioactive substance is

If the dimensions of a physical quantity are given by $M^aL^bT^c$,then the physical quantity will be: