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Questions and Answers
What property of the electron does the de Broglie wavelength describe?
What property of the electron does the de Broglie wavelength describe?
If the kinetic energy of the electron was doubled, what would happen to its de Broglie wavelength?
If the kinetic energy of the electron was doubled, what would happen to its de Broglie wavelength?
Which of the following statements is true when comparing the de Broglie wavelength of an electron with that of a proton?
Which of the following statements is true when comparing the de Broglie wavelength of an electron with that of a proton?
What is the de Broglie wavelength of an electron with a kinetic energy of 120 eV
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.