what is DE broglie's hypothesis? describe the formula for de broglie's wavelength
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Answer:
De Broglie's hypothesis of matter waves postulates that any particle of matter that has linear momentum is also a wave. The wavelength of a matter wave associated with a particle is inversely proportional to the magnitude of the particle's linear momentum. The speed of the matter wave is the speed of the particle.
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⭐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:
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