Why Doesn't Mass of Electrons Increase?

  • Context: Undergrad 
  • Thread starter Thread starter nil1996
  • Start date Start date
  • Tags Tags
    Concept
Click For Summary

Discussion Overview

The discussion revolves around the question of why the mass of electrons does not increase when they absorb photons, particularly in the context of their motion and energy absorption, as related to the photoelectric effect. The scope includes conceptual clarifications and technical explanations related to relativistic mass and invariant mass.

Discussion Character

  • Conceptual clarification
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions why the mass of electrons does not increase when they absorb photons, suggesting that electrons revolve at the speed of light.
  • Another participant corrects the claim that electrons revolve at the speed of light, stating they may move at near the speed of light.
  • It is proposed that when objects near the speed of light absorb energy, they increase their mass, although this is contested.
  • A later reply introduces the concept of invariant mass, explaining that an object's mass does not change in its own frame of reference.
  • One participant presents a mathematical relationship, ##E^2 = (m_0c^2)^2 + (pc)^2##, to clarify the relationship between energy, momentum, and mass, suggesting that the idea of mass increasing with speed has limited applicability in certain contexts, such as orbiting electrons.

Areas of Agreement / Disagreement

Participants express differing views on the concept of mass increase with speed and the applicability of relativistic mass in the context of electrons absorbing energy. The discussion remains unresolved regarding the implications of these concepts.

Contextual Notes

There are limitations in the discussion regarding the assumptions about electron motion and the definitions of mass in different frames of reference. The mathematical steps and their implications are not fully resolved.

nil1996
Messages
301
Reaction score
7
(Warning, a dumb question incoming :smile:)

Just got curious while reading an article on photoelectric effect.
Why doesn't the mass of electrons increase(because electrons already revolve at the speed of light) when it absorbs photons instead of increasing radius of orbit?


(Sorry for my English.It isn't my first language.:smile:)
 
Physics news on Phys.org
nil1996 said:
Why doesn't the mass of electrons increase (because electrons already revolve at the speed of light) when it absorbs photons instead of increasing radius of orbit?

Electrons don't revolve at the speed of light.
 
Nugatory said:
Electrons don't revolve at the speed of light.

But they may be moving at near speed of light.And when objects near speed of light absorb energy they increase their mass,isn't it?
 
nil1996 said:
But they may be moving at near speed of light.And when objects near speed of light absorb energy they increase their mass,isn't it?

Only from the point of view of a remote observer. An object's mass in its own frame of reference is called the invariant mass, and as the name implies, it doesn't change.
 
nil1996 said:
But they may be moving at near speed of light.And when objects near speed of light absorb energy they increase their mass,isn't it?

I thought that might be what you're getting at, and the answer is "no, not really". Mathematically the relationship you're looking for is ##E^2 = (m_0c^2)^2 + (pc)^2## where ##m_0## is the mass of the object at rest and ##p## is the momentum. If the energy increases, the momentum must increase... and if the momentum increases enough, the electron will be able to escape.

The idea that mass increases with speed isn't outright wrong, but it has limited usefulness, and orbiting electrons are one of the situations where it doesn't apply. You'll hear a lot about it in the popular press and in some introductions to special relativity, but it's mostly a holdover from earlier days. The equation above (which, interestingly, reduces to ##E=mc^2## when ##p=0##) is more flexible and generally applicable.
 
ok thanks a lot guys:smile:
 

Similar threads

  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 36 ·
2
Replies
36
Views
9K
  • · Replies 28 ·
Replies
28
Views
8K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 38 ·
2
Replies
38
Views
4K
  • · Replies 14 ·
Replies
14
Views
4K