E =mc2. e = hf is it different?

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Discussion Overview

The discussion centers on the comparison between the equations E=mc² and E=hf, exploring their implications in different contexts, particularly in relation to mass and energy. Participants examine the applicability of these equations to massive particles versus photons, as well as the broader framework of energy-momentum relationships.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants assert that E=mc² applies specifically to the rest mass of massive particles, while E=hf pertains to the energy of photons.
  • One participant proposes a relationship between the two equations by rearranging mc² = hc/λ to derive λ = h/mc, referencing DeBroglie's hypothesis on wave-particle duality.
  • Another participant notes that E=mc² is part of a larger equation that incorporates momentum, allowing for energy calculations based on both mass and motion.
  • Some participants suggest that if 'm' is considered as 'relativistic mass', both E=mc² and E=hf can be applicable to photons, while others emphasize that using 'rest mass' leads to different conclusions regarding the energy of photons.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of E=mc² and E=hf, particularly regarding the definitions of mass used in the equations. There is no consensus on how these equations relate to each other in the context of photons versus massive particles.

Contextual Notes

The discussion highlights the dependence on definitions of mass (rest mass vs. relativistic mass) and the implications for energy calculations. Some mathematical relationships are mentioned but remain unresolved in terms of their broader applicability.

huhjinsoo
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e =mc2. e = hf

is it different?
than why??

..e =mc2 this only use in nuclear??
 
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E=mc^2 is the rest mass of a massive particle.
That other thing over there is the energy of a photon.
 
If you put the two together and write f=c/λ then you can rearrange
mc2 = hc/λ to give λ = h/mc
DeBroglie did precisely this to come up with his hypothesis that λ = h/momentum
Which is the basis of wave - particle duality
 
The equation E=MC2 is used to find the energy content of some amount of mass. (Rest mass/invariant mass)

The equation E=hf is used to find the energy content a photon, where f = frequency of the photon.

Note that E=MC2 is actually part of a larger equation: E2=M2C4+P2C2, where P = momentum of the object. This allows you to find the energy content of an object based on its mass AND its motion relative to yourself.
 
as Emilyjoint is saying, if we take 'm' to be the 'relativistic mass', then e =mc2 and e = hf are both correct for a photon.

But as Drakkith is saying, if we take 'm' to be the 'rest mass', then the full equation is E2=M2C4+P2C2 and for a photon, the rest mass is zero, so E=PC for a photon.
 

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