Question

Why de broglie principle is not valid for stationary particle?

Answer 1

Now if we take particle as microscopic it just fine because lets take example of electron moving with some velocity (say 10^6 m/s)

By using this formula λ=h/pλ=h/p

Where h = plank constant, p= momentum of electron

By calculating this we will get the wavelength of electron lies in em spectrum.

Now if you take macroscopic body it is obious that its momentum should be large due to its mass. So by above formula we get wavelength associated with the body very tiny. Even we can not detect this wavelength by any present instruments or devices.

Overall it is insignificant for macroscopic objects/particles.

Answer 2

★☆〖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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