De Broglie wave of a moving classical body

Question

We have found that de Broglie wavelength for a classical object (say an moving automobile or a ball) has very very tiny wavelength due to its bigger mass(as compared to the sub-atomic particles). So that kind of short wavelength is very much ridiculous & thus we neglect the wave nature for classical bodies. But why should this short wavelength be neglected? It has a very very high frequency! So why should we neglect that frequency?! By considering only the wavelength we reject the wave nature. But why can't we think about its frequency?

Answer 1

The way you think about the frequency is like the "frequency of photons" which we assume to have an energy equal to $E=h\nu$ ($\nu=$ frequency).

For the particles the wavelength is related to the momentum by the relation $\lambda=\frac{h}{p}$. But it is not a photon to write for it $\lambda\nu=c$ ($c=$ speed of light).

However if you are insisting on having a relation between $\lambda$ and $\nu$, then you would get the relation $E=\frac{p^2}{2m}$ for the energy of the classical mass rewritten as a function of $\nu$.