Question

state and explain de Broglie relation for matter waves

Answer 1

matter wave r a central part of the theory of quantum mechanics being on example of wave_particle duality.for example_a beam of electrons can b diffracted just like a beam of light or a water wave.the concept that matter behave like a wave proposed by louis de Broglie in 1924.is also referred as Broglie hypothesis.and matter waves r known as debroglie waves

Answer 2

Answer:

De Broglie's equation says that matter can act as waves much like light and radiation, which even behave as waves and particles. The equation further demonstrates that a beam of electrons can also be diffracted simply like a beam of light. In essence, the de Broglie equation allows us to understand the concept of matter including a wavelength.

Explanation:

• De Broglie’s hypothesis of subject waves postulates that any particle of matter that has linear momentum exists also as a wave. The wavelength of a matter wave associated with a particle exists inversely proportionate to the magnitude of the particle’s linear momentum. The speed of the matter-wave exists the speed of the particle.
• De Broglie’s conception of the electron matter wave furnishes a rationale for the quantization of the electron’s angular momentum in Bohr’s instance of the hydrogen atom.
• In the Davisson–Germer experiment, electrons are scattered off a crystalline nickel surface. Diffraction patterns of electron matter waves are observed. They are proof of the presence of matter waves. Matter waves are observed in diffraction experimentations with different particles.

• De-Broglie relation describes a body's momentum with its wavelength. It is provided as

• $\lambda=\frac{\mathrm{h}}{\mathrm{p}}$
• where $\lambda$ exists its de-Broglie wavelength
• $h$ stands for the plank's constant
• $p$ stands for the moving body's momentum.

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