Classical nature of the hydrogen atom

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SUMMARY

The discussion centers on the classical nature of the hydrogen atom, specifically addressing the instability of an electron in a circular orbit of radius 5.3 x 10-11 m around a proton. It is established that this configuration leads to the electron eventually collapsing into the proton due to radiation emitted from the accelerated charge. Participants emphasize the need to apply integral calculus to derive the classical expression for radiation, which is crucial for calculating the time it takes for the electron to collapse.

PREREQUISITES
  • Understanding of classical mechanics and orbital motion
  • Familiarity with integral calculus
  • Knowledge of electromagnetic radiation principles
  • Basic concepts of atomic structure and electron behavior
NEXT STEPS
  • Research the classical expression for radiation from an accelerated charge
  • Study the application of integral calculus in physics problems
  • Explore the stability of orbits in classical mechanics
  • Learn about the historical context of the Bohr model of the hydrogen atom
USEFUL FOR

Students studying classical mechanics, physics educators, and anyone interested in the foundational concepts of atomic structure and electromagnetic radiation.

yomister123
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Homework Statement


According to the classical nature of the hydrogen atom an electron in a circular orbit of radius 5.3*10^-11m around a proton fixed at the centre is unstable. If it is true, how long would it take for the electron to collaspse into the proton?


Homework Equations


There is a hint: "Use integral calculus to solve the classical expression for radiation from an accelerated charge"


The Attempt at a Solution


I really don't know where to start... can anyone care to tell me what is the "classical expression for radiation"?
 
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can anyone suggest where to start?
 

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