derive De Broglie equation what is the significance of this equation does it have any application in our daily life. explain
Answers
Answer:
Explanation:you can say that matter also behaves like waves. This is what is called as de Broglie hypothesis.
de Broglie, in his 1924 PhD thesis, proposed that just as light has both wave-like and particle-like properties, electrons also have wave-like properties. The wavelength, λ, associated with an electron is related to its momentum, p, through the Planck constant,
The relationship is now known to hold for all types of matter: all matter exhibits properties of both particles and waves.
In layman terms, de Broglie equation says that every moving particle - microscopic or macroscopic - is associated with a wavelength. For microscopic objects, wave nature is observable. For larger objects, the wavelength is even smaller still, quickly becoming so small as to become unnoticeable.
The wave particle duality of light was a big mystery for scientist. The light produce energy which traverses through space just like as the ripples spreading across the surface of a still pond after being disturbed by a dropped rock, it proves the wave like nature of light.
Now the derivation
★☆〖Qบęຮτ ı¨ ø nˇ〗☆★
⭐The Dual Nature of Matter⭐
=> de-Broglie's Principle states that "All material particles in motion possess wave characteristics..."
=> de-Broglie's Relationship can be derived by combining the mass and energy relationships proposed by Max Planck, and Albert Einstein...
E = ∫c²dm = Σc²Δm = mc²
E = hν
=> The combination of these two yielded the desired result:
λ = h/mc
=> The above equation is valid for a Photon(γ⁰)
=> The same relation can be extended to every particle of this universe, if the speed of light in vacua(c) is replaced by the ordinary velocity of the particle:
____________________________________
________________
<Judge It Yourself...>
(100% Plagiarism-Free ☺️☺️)
Hope it helps you! ヅ
✪ Be Brainly ✪