Write the dimensional formula of $\frac{k}{m}$,where $k$ is the spring constant and $m$ is the mass.

$A$ dimensionless quantity

The dimension of $\frac{E^2}{\mu_0}$ in mass $(M)$,length $(L)$ and time $(T)$ is ($E=$ electric field,$\mu_0=$ permeability of free space).

What is the dimension of a physical quantity? Explain using a suitable example.

The dimensional formula for impulse is

Time $(T)$,velocity $(C)$,and angular momentum $(h)$ are chosen as fundamental quantities instead of mass,length,and time. In terms of these,the dimensions of mass would be