Math, asked by anshulmeshram36, 7 months ago

derive De brogli wave equation

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Answered by manikyambandi995
5

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Answered by MrEccentric
3

★☆〖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:

 \:  \:  \:  \:  \:  \:  \:  \:  \: λ =  \frac{h}{ \: mv⃗}

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