Significance of de broglie equation
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Answer:
The de Broglie equation relates a moving particle's wavelength with its momentum. The de Broglie wavelength is the wavelength, λ, associated with a massive particle and is related to its momentum, p, through the Planck constant, h:
h/p=λ
In other words, 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,
p=h/λ
The relationship is now known to hold for all types of matter: all matter exhibits properties of both particles and waves.
⭐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:
λ = h/mv
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