What is Dimensional Formula of Angular Wave number?

Angular wave number ( k ) is constant for a particular wave , which is  closely related to the  wavelength of the wave. In geophysics  we are related to oscillating waveform,  angular frequency and angular wave number. Angular wave number can be defined as the ratio of angular frequency to velocity.

Mathematically,

Angular wave number ( k )  = Angular frequency / Velocity

Dimensional formula of Angular Frequency = M⁰L⁰T^-1
Dimensional formula of Velocity = M⁰L¹T^-1

Putting these values in above equation we get,

Dimensional Formula of Angular wave number ( k ) = M⁰L^-1T⁰
SI Unit of Angular wave number ( k ) is radians per meter