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Sagot :
The speed of the particle is 1.35 * [tex]10^{4}[/tex] m /s
The de Broglie equations relate the wavelength λ to the momentum p, and frequency f to the total energy E of a particle: where h is Planck's constant.
The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength.
λ = h / p
m= mass = 6.67∗[tex]10^{-27}[/tex] Kg
λ = 7.31 pm = 7.31 * [tex]10^{-12}[/tex] m (1 pm = [tex]10^{-12}[/tex] m)
h= Planck's constant = 6.62∗[tex]10^{-34}[/tex][tex]m^{2}[/tex]/Kg.s
v= velocity of particle = ?
λ = h / mv
v = h / mλ
= [6.62∗[tex]10^{-34}[/tex]] / [6.67∗[tex]10^{-27}[/tex]] [7.31 * [tex]10^{-12}[/tex]]
= 0.135 * [tex]10^{5}[/tex] m /s.
= 1.35 * [tex]10^{4}[/tex] m /s
Learn more about de broglie equation here :
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