Undergrad Unit and dimension about De broglie wave

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SUMMARY

The discussion centers on the de Broglie wave formula, specifically the relationship between Planck's constant (h) and momentum (p) in determining wavelength (λ). The formula λ = h/p is analyzed, with a focus on the unit conversion from joule-seconds (J·s) to meters (m). The breakdown of units shows that h/p simplifies to meters, confirming that the wavelength is expressed in SI units. This clarification aids in understanding the dimensional analysis involved in quantum mechanics.

PREREQUISITES
  • Understanding of the de Broglie wave formula
  • Familiarity with Planck's constant and its units
  • Basic knowledge of momentum in physics
  • Concept of dimensional analysis in physics
NEXT STEPS
  • Study the derivation of the de Broglie wavelength formula
  • Learn about Planck's constant and its significance in quantum mechanics
  • Explore the concept of momentum and its relationship to wave-particle duality
  • Investigate dimensional analysis techniques in physics
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Physics students, educators, and anyone interested in quantum mechanics and wave-particle duality will benefit from this discussion.

KT KIM
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From the de Broglie wave formula we know,
Rhamda=h/p

In actual examples of course the answer would be 'something [meters]'

I am having hardtime to understand how unit of h/mv
[J*s]/[kg]*[m/s] turn into wavelength unit [m]

I studied the Mass-Energy relation part earlier,
But still can't get the precise way how actually it works and modifes its unit.
 
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KT KIM said:
From the de Broglie wave formula we know,
Rhamda=h/p

In actual examples of course the answer would be 'something [meters]'

I am having hardtime to understand how unit of h/mv
[J*s]/[kg]*[m/s] turn into wavelength unit [m]

I studied the Mass-Energy relation part earlier,
But still can't get the precise way how actually it works and modifes its unit.
What is 1 Joule, expressed in SI base units?
 
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KT KIM said:
I am having hardtime how unit of h/mv
[J*s]/[kg]*[m/s] turn into wavelength unit [m]

I studied the Mass-Energy relation part earlier,
But still can't get the precise way how actually it works and modifes its unit.

Planck's constant is h -its units are joule-sec;
Joule is expressed as energy - its units are kg.m^2.s ^-2 ; so j--s will be kg.m^2.s^-1
so h/ p will be kg.m^2.s^-1 /(kg.m.s^-1 ) = m (in meters) which is the unit of Lambda the wavelength.
 
drvrm said:
Planck's constant is h -its units are joule-sec;
Joule is expressed as energy - its units are kg.m^2.s ^-2 ; so j--s will be kg.m^2.s^-1
so h/ p will be kg.m^2.s^-1 /(kg.m.s^-1 ) = m (in meters) which is the unit of Lambda the wavelength.
Thanks!
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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