The dimensional formula for Planck's constant $(h)$ is

If mass $(M)$,length $(L)$,time $(T)$,and electric current $(A)$ are taken as fundamental quantities,then the dimensional formula of permittivity $(\epsilon_0)$ is:

$A$ gas satisfies the relation $P V^{5/3} = K$, where $P$ is pressure, $V$ is volume, and $K$ is a constant. The dimensions of constant $K$ are:

Force $F = P \cos(Ax) + Q \sin(Bt)$,where $x$ and $t$ are displacement and time respectively. Which one of the following physical quantities has the dimensions of $\left[\frac{B}{A}\right]$?

Dimensions of luminous flux are

The wave equation is given by $Y = A \sin \omega \left( \frac{x}{v} - k \right)$,where $\omega$ is the angular velocity and $v$ is the linear velocity. What is the dimension of $k$?