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MrDMD83
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Homework Statement
What is each of the following?
(a) the wavelength of a 6.0 eV photon
m
(b) the de Broglie wavelength of a 6.0 eV electron
m
Homework Equations
?
The Attempt at a Solution
None so far
MrDMD83 said:what about the velocity?
The De Broglie wavelength problem is a concept in quantum mechanics that states that all particles, including those with mass, have a wavelength associated with them. This wavelength is known as the De Broglie wavelength and is inversely proportional to the particle's momentum.
The De Broglie wavelength problem was first proposed by French physicist Louis de Broglie in 1924. He hypothesized that if light, which was known to have both wave-like and particle-like properties, could have a wavelength, then particles such as electrons should also exhibit wave-like behavior.
The equation for calculating the De Broglie wavelength is λ = h/mv, where λ is the wavelength, h is Planck's constant, m is the mass of the particle, and v is the velocity of the particle. This equation is also known as the de Broglie relation.
The De Broglie wavelength problem is significant because it helped to bridge the gap between classical mechanics and quantum mechanics. It also provided evidence for the wave-particle duality of matter, which is a fundamental concept in quantum mechanics.
The De Broglie wavelength problem has been observed in numerous experiments, such as the double-slit experiment. In this experiment, a beam of particles, such as electrons, is passed through two slits, and an interference pattern is observed on the other side, similar to what is seen with light waves. This interference pattern is only possible if the particles have a wavelength associated with them.