Unit and dimension about De broglie wave

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Discussion Overview

The discussion revolves around the units and dimensions related to the de Broglie wave formula, specifically how the units of Planck's constant and momentum relate to wavelength. Participants explore the conversion of units and seek clarity on the underlying principles.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • Some participants express difficulty in understanding how the units of Planck's constant (Joule-seconds) and momentum (kg·m/s) combine to yield a wavelength in meters.
  • One participant attempts to clarify that Joule can be expressed in SI base units as kg·m²·s⁻², leading to a breakdown of the units when calculating h/p.
  • Another participant reiterates the conversion process, stating that the units simplify to meters, which is the unit for wavelength.

Areas of Agreement / Disagreement

Participants generally agree on the unit conversions involved but express varying levels of understanding regarding the process. There is no consensus on a definitive explanation of the underlying principles.

Contextual Notes

Some assumptions about the familiarity with SI units and the mathematical manipulation of units may not be explicitly stated. The discussion does not resolve all uncertainties regarding the conceptual understanding of the relationships between the units.

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!
 

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