Question

The velocity of matter waves is ________

Answer 1

The founders of Quantum Physics were the first to recognise matter's dual nature, its ability to exist as both a particle and a wave. A beam of electrons, for example, can be diffracted in the same way that any other beam of electromagnetic radiation or water wave can. The Hypothesis of Louis de Broglie proposed this property of matter.

Complete step by step answer:
A matter-wave is the wave associated with each moving particle. The wavelength of a matter-wave is equal to hp, where h is Planck's constant and p is the moving particle's moment. The smaller the De-Broglie wavelength, the faster the particle moves. The De-Broglie wavelength increases as the particle becomes lighter.
The matter wave's velocity is not constant because it is determined by the velocity of the material particle. Each moving particle is associated with a wave called a matter wave. A matter wave's wavelength is equal to
$\lambda = hp$
Planck's constant is h
p = The moment of a moving particle
Matter-wave characteristics
In nature, matter waves are not electromagnetic.
The probability of finding a particle in space is represented by the matter-wave.
The charge of the material particle has no bearing on matter waves.
De-Broglie waves are used in electron microscopes.
In a vacuum, matter waves can propagate. As a result, they aren't mechanical waves.
The ${n^{th}}$orbital has n de-Broglie waves associated with it.
Matter waves can have a phase velocity greater than the speed of light.

Note: One of the equations commonly used to define the wave properties of matter is the de Broglie equation. It essentially describes the electron's wave nature. De Broglie's theory of dual behaviour of matter led to the development of the electron microscope, which is commonly used to magnify images of biological molecules and other materials.