The Martians use force $(F)$,acceleration $(A)$,and time $(T)$ as their fundamental physical quantities. The dimensions of length in the Martian system are:

Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$ : Product of Pressure $(P)$ and time $(t)$ has the same dimension as that of coefficient of viscosity.
Reason $R$ : Coefficient of viscosity $= \frac{\text{Force}}{\text{Area} \times \text{Velocity gradient}}$
Choose the correct answer from the options given below.

Dimensions of frequency are

Which two of the following five physical parameters have the same dimensions?
$(a)$ Energy density
$(b)$ Refractive index
$(c)$ Dielectric constant
$(d)$ Young's modulus
$(e)$ Magnetic field

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:

The dimensional formula $M{L^2}{T^{ - 3}}$ represents: