The dimensions of power are

Which of the following is dimensionless?

The dimensions of $(\mu_0 \varepsilon_0)^{-1/2}$ are

The dimensional formula for $r.m.s.$ (root mean square) velocity is

The position of a particle at time $t$ is given by the equation $x(t) = \frac{v_0}{A}(1 - e^{-At})$, where $v_0$ is a constant and $A > 0$. The dimensions of $v_0$ and $A$ respectively are:

Identify the pair of physical quantities that have the same dimensions.