Cathode Rays & Velocity: Uniform or Accelerated?

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Discussion Overview

The discussion revolves around the behavior of cathode rays (electrons) emitted from a cathode in a discharge tube experiment, specifically questioning whether these rays travel at a uniform velocity or are accelerated by an external electric field. The conversation touches on the application of potential difference and the resulting calculations of electron velocity.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that while electrons are emitted with some initial velocity, the majority of their speed is gained from the applied electric field, suggesting they are accelerated.
  • Another participant questions the nature of acceleration in the electric field and seeks clarification on the timing of the velocity calculated using the formula v=sq.rt(2*p.d.*e/m).
  • A participant emphasizes that charged particles in an electric field are indeed accelerated, implying that the velocity is not uniform.
  • There is a challenge regarding the clarity of the previous explanations and the sufficiency of the provided information to calculate velocity.

Areas of Agreement / Disagreement

Participants express differing views on whether the velocity of the electrons is uniform or if they are continuously accelerated by the electric field. The discussion remains unresolved with multiple competing perspectives on the nature of electron motion in the electric field.

Contextual Notes

The discussion does not clarify the assumptions regarding initial conditions of the electrons or the specific setup of the discharge tube, which may influence interpretations of the velocity calculations.

mysteriously
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During discharge tube experiment, the cathode rays are emitted from cathode at very low pressure...it is said that these rays move at very high velocity(if we apply high Potential Difference between 2 electrodes)...do these rays( stream of electrons) travel in uniform velocity or aren't they accelerated due to presence of external electric field?why do we directly find out the velocity of electron by the formula v=sq.rt(2*p.d.*e/m) ? i am confused whether the velocity of electrons is uniform or it is being accelerated by the external electric field??
 
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mysteriously said:
During discharge tube experiment, the cathode rays are emitted from cathode at very low pressure...it is said that these rays move at very high velocity(if we apply high Potential Difference between 2 electrodes)...do these rays( stream of electrons) travel in uniform velocity or aren't they accelerated due to presence of external electric field?why do we directly find out the velocity of electron by the formula v=sq.rt(2*p.d.*e/m) ? i am confused whether the velocity of electrons is uniform or it is being accelerated by the external electric field??

While the electrons are emitted with some velocity, the overwhelming majority of the energy/speed picked up by the electrons are from the applied field. Remember, these are electrons! They are charged particles. Charged particles can interact with an external electric field. So you apply such a field to cause them to speed up.

If you apply a potential difference of V, then the energy gained by the electrons is eV = 1/2 mv^2 (assuming non-relativistic). So calculate your speed from there (assuming it started with 0 or negligible speed, which is a valid assumption in most cases).

P.S. This is not a "Quantum Physics" topic and has been moved out of that forum.

Zz.
 
dont they accelerate in the electric field?every charged particle in electric field is accelerated...then what and at what time is the velocity we calculate from above formula??
 
mysteriously said:
dont they accelerate in the electric field?every charged particle in electric field is accelerated...then what and at what time is the velocity we calculate from above formula??
You have a tube with a cathode at one end. Where is the anode?
 
mysteriously said:
dont they accelerate in the electric field?every charged particle in electric field is accelerated...then what and at what time is the velocity we calculate from above formula??

This is utterly puzzling. What did you think I meant when I said that these charge particles interact with electric field?

And why can't you just calculate the velocity? I've given you everything you need already!

Zz.
 

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