Which of the following operations can be performed on two physical quantities $A$ and $B$ if they possess different dimensions?

In a relation $F = a \sin(k_1x) + b \sin(k_2t)$,where $F$,$x$,and $t$ denote force,distance,and time respectively. The units of $k_1$ and $k_2$ are respectively:

From the dimensional consideration,which of the following equations is correct?

If force $F$,velocity $V$,and time $T$ are taken as fundamental units,then the dimension of force in the pressure is:

The equation of a stationary wave is given by $y = 2a \sin \left( \frac{2 \pi nt}{\lambda} \right) \cos \left( \frac{2 \pi x}{\lambda} \right)$. Which of the following statements is $NOT$ correct?

$A$ neutron star with magnetic moment of magnitude $m$ is spinning with angular velocity $\omega$ about its magnetic axis. The electromagnetic power $P$ radiated by it is given by $\mu_{0}^{x} m^{y} \omega^{z} c^{u}$,where $\mu_{0}$ and $c$ are the permeability and speed of light in free space,respectively. Then,