The dimensional formula for impulse is

The dimensional formula of latent heat is:

The dimensional formula of permeability of free space $\mu_0$ is

The displacement of a progressive wave is represented by $y = A \sin(\omega t - kx)$,where $x$ is distance and $t$ is time. Write the dimensional formula of $(i)$ $\omega$ and $(ii)$ $k$.

Let the inductance and resistance be denoted by $L$ and $R$ respectively. The dimensions of $\left(\frac{L}{R}\right)$ are

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 . . . . . . .