Dimensions of $\frac{1}{{\mu _0 \varepsilon _0}}$,where symbols have their usual meaning,are:

The dimension of $R$ (Resistance) is:

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

The electrical resistance $R$ of a conductor of length $l$ and area of cross-section $a$ is given by $R = \frac{\rho l}{a}$,where $\rho$ is the electrical resistivity. What is the dimensional formula for electrical conductivity $\sigma$,which is the reciprocal of resistivity?

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are:

An object is moving through a liquid. The viscous damping force acting on it is proportional to its velocity. The dimension of the constant of proportionality is: