De broglies wavlength and energy

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De Broglie's equation relates a particle's wavelength to its momentum, expressed as λ = h/p, where h is Planck's constant. The energy of a particle can be calculated using E = hf, but this formula primarily applies to massless particles like photons. The confusion arises when comparing this energy to the kinetic energy of particles, which can be smaller due to the different contexts in which these equations apply. The discussion highlights the distinction between energy calculations for photons and massive particles, emphasizing that E = hf does not universally apply. Understanding these nuances is crucial for grasping the relationship between wavelength and energy in quantum mechanics.
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I am having a little trouble understanding de Broglies equation and wavelength and it relation ship with energy

Eq1.jpg


by E=hf and debroglies equation the above equation will get the energy of the particle
i did an example and i found this energy does not = the Kinetic energy of the particle, infact it was smaller

why is this

I thought E = hf only applies to zero mass particles?
 
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My understanding is from high school physics (I finished my physics degree 30 some years ago). De Broglie's insight, found while drinking beer in a pub, was that perhaps waves have momentum p = h/λ and particles have wavelength λ = h/p. I don't think E=hf applies to anything other than photons.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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