Dimensions of kinetic energy are

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:

Dimensions of the coefficient of viscosity are

Which pair does not have equal dimensions?

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

In $SI$ units,$kg m^2 s^{-2}$ is equivalent to which of the following?