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De Broglie wave of a moving classical body

Physics Asked by Subhadip Pal on February 17, 2021

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?

One Answer

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

Answered by P.A.M on February 17, 2021

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