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A particle with a mass of 6. 67×10−27 kg has a de broglie wavelength of 7. 31 pm. part a what is the particle's speed?

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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