What is Dimensional Formula of Wave number (Propagation constant) ?

Wave number can be defined as the number of waves per unit length. In other words it is number of waves that occurs across a fixed distance. It is also known as propagation constant.

Wavenumber is reciprocal of Wave length. Unit of Wavenumber are cycles per centimeter or inverse centemeters.

Wave number (k) = 2 π / λ (Wave length)

Dimensional formula of wavelength = M⁰L¹T⁰

So putting this value in the formula we get,

Dimensional Formula of Wave number or Propagation constant  = M⁰L^-1T⁰
SI units of Wave number or Propagation constant is m^-1.