De Broglie Wavelength Quiz
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Questions and Answers

What property of the electron does the de Broglie wavelength describe?

  • Energy
  • Velocity
  • Wave nature (correct)
  • Mass
  • If the kinetic energy of the electron was doubled, what would happen to its de Broglie wavelength?

  • It would remain the same (correct)
  • It would double
  • It would halve
  • It would quadruple
  • Which of the following statements is true when comparing the de Broglie wavelength of an electron with that of a proton?

  • The electron has a shorter wavelength than the proton
  • The wavelengths are equal
  • The proton has a shorter wavelength than the electron (correct)
  • The comparison cannot be made
  • What is the de Broglie wavelength of an electron with a kinetic energy of 120 eV

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    Study Notes

    De Broglie Wavelength

    • The de Broglie wavelength describes the wave-like nature of particles, specifically their momentum.
    • The de Broglie wavelength is inversely proportional to the momentum of the particle.
    • Doubling the kinetic energy of an electron would decrease its de Broglie wavelength by a factor of the square root of 2.
    • The de Broglie wavelength of an electron is significantly greater than the de Broglie wavelength of a proton with the same kinetic energy. This is because the electron has a much smaller mass than the proton.
    • The de Broglie wavelength of an electron with a kinetic energy of 120 eV can be calculated using the following formula:

    λ = h / p = h / √(2mK)

    Where: - λ is the de Broglie wavelength - h is Planck's constant (6.63 x 10^-34 Js) - m is the mass of the electron (9.11 x 10^-31 kg) - K is the kinetic energy of the electron (120 eV converted to joules).

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    Description

    This quiz covers the de Broglie wavelength of an electron with a given kinetic energy, its relationship with kinetic energy, and a comparison between the de Broglie wavelength of an electron and a proton. Test your understanding of this fundamental concept in quantum mechanics.

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