How does the relation `c-frac(1)(sqrt(mu_0 epsilon_0)` indicate that the velocity of all types of e.m. waves in free space is the same?

The dimension of 1/(sqrt(mu_(0)epsilon_(0))) are same as

The dimension of 1/(sqrt(epsilon_(0)mu_(0))) is that of

Assertion : The quantities (1sqrt(mu_(0) epsilon_(0))) is dimensionally equal to velocity and numericallyy equal of light. Reason : mu_(0) is permeability of free space and epsilon_(0) is the permittivity of free space.

Check the correctness of the relation c = (1)/(sqrt(mu_0 in_0)) where the symbols have their usual meaning.

Assertion: the quantity (1//sqrt(mu_(0) epsilon_(0))) is dimensionally equal to velocity and numerical equal to velocity of light. Reason : mu_(0) is permeability of free space and epsilon_(0) is the permitivity of free space.

Which of the following does not have the dimensions of velocity ? ( Given epsilon_(0) is the permittivity of free space , mu_(0) is the permittivity of free space , v is frequency , lambda is wavelength , P is the pressure , and rho is density , k is wave number , omega is the the angular frequency)

The speed of an electromagnetic wave in a material medium is given by n=(1)/(sqrt(mu epsilon)), m being the permeability of the medium and e its permittivity. How does its frequency change ?

Consider a parallel plate capacitor, of capacitance C, plate area A and plate separation d. It is being charged by using a battery. The quantity epsilon_(0)(d phi_(E))/(dt) has the dimensions of [ epsilon_(0) =permittivity of free space, phi_(E) is the electric flux, dt = time]