Wave Particle Duality: de-Broglie Wavelength


What is the Wave Particle Duality. What is the de-Broglie Wavelength.

Answer:

In 1923, Louis de Broglie, a French physicist, proposed a hypothesis to explain the wave nature as well as particle nature of moving particle. Wave–particle duality is the fact that every elementary particle or quantic entity exhibits the properties of particles and also waves.
Light being a form of electromagnetic radiation, which travels in the form of waves and has a range of wavelengths and frequencies means light has properties of waves. But, at the beginning of the 20th century, scientists had begun to question the wavelike nature of light. They had found new evidence to suggest that light was not really a wave, but more like a particle. To solve the problem, famous scientists like Einstein, Hertz and de Broglie had to put their heads together and come up with a better solution for how to think about light. Their contributions led to the current scientific theory of wave-particle duality.
According to de-Broglie; a moving particle has a wave and the wave length of moving particle is given as Lembda = h/p; known as de-Broglie wavelength.

de-Broglie Wavelength of matter waves

According to Einstein the energy of photon

de-Broglie wavelength In terms of Kinetic Energy:

If a particle moves with velocity v then de-Broglie wavelength is defined as

de-Broglie Wavelength

de-Broglie wavelength in terms of Kinetic theory of gases

The Energy is define in terms of Kinetic theory of gases is

de-Broglie Wavelength

 

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