Relation between mass and wavelength

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SUMMARY

The discussion centers on the inverse relationship between mass and wavelength, specifically referencing de Broglie's matter waves. The equation λ = h/p is highlighted, where h represents Planck's constant and p denotes momentum, defined as p = mv/√(1 - v²/c²). This relationship illustrates that as mass increases, wavelength decreases, which is observable in phenomena such as electron beam interference compared to macroscopic objects like marbles.

PREREQUISITES
  • Understanding of de Broglie's matter waves
  • Familiarity with Planck's constant (h)
  • Knowledge of momentum (p = mv/√(1 - v²/c²))
  • Basic principles of wave-particle duality
NEXT STEPS
  • Research the implications of de Broglie's equation in quantum mechanics
  • Explore the concept of wave-particle duality in detail
  • Study the applications of electron beam interference in experimental physics
  • Learn about the significance of Planck's constant in modern physics
USEFUL FOR

Students of physics, researchers in quantum mechanics, and anyone interested in the fundamental principles of wave-particle duality and its implications in modern science.

Misr
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Hi,
Why are mass and wavelength are inversely proportional?
 
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Are you referring to de Broglie's matter waves?

As Hawking said, physics' job is to ask how.
It's philosophy's business to ask why.

But briefly, interference effects can be observed with electron beams, but not with marbles, and the shorter the wavelength of anything, the more it acts like a particle.
 
ok I change my question .."how are mass and wavelength are inversely proportional? "
 
\lambda = \frac{h}{p} :wink:
 
Looks very helpful but what is "h" and what is "p" ?
 
h is a fundamental constant of nature and

<br /> p = \frac{m \, v}{\sqrt{1 - v^{2}/c^{2}}}<br />

is the momentum of a particle with mass m moving at speed v and c is the limit speed with which any interaction can be transmitted and is another fundamental constant of nature.
 
oh ok got it Thanks very much
 

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