Classical radius of an electron and its implications prob.

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SUMMARY

The classical radius of an electron is established at 2.82 x 10-15 m. To calculate the time required for an electron to gain an energy of 1 eV when exposed to sunlight with an intensity of 500 W/m2, one must utilize the relationship P = IA, where P is power, I is intensity, and A is the area of the electron. The classical approach indicates that electrons absorb radiation over time, contrasting with the instantaneous emission observed in the photoelectric effect, which occurs in less than 10-9 seconds.

PREREQUISITES
  • Understanding of classical physics concepts, particularly energy absorption.
  • Familiarity with the photoelectric effect and its implications.
  • Knowledge of the equation E = hf, where E is energy, h is Planck's constant, and f is frequency.
  • Basic skills in calculating power using P = IA.
NEXT STEPS
  • Research the derivation and implications of the photoelectric effect.
  • Learn about Planck's constant and its role in quantum mechanics.
  • Explore the relationship between intensity, power, and energy absorption in classical physics.
  • Investigate the differences between classical and quantum descriptions of electron behavior.
USEFUL FOR

Students and educators in physics, particularly those focusing on classical mechanics and quantum physics, as well as researchers interested in the photoelectric effect and energy absorption phenomena.

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Homework Statement


The classical radius of an electron is 2.82 x 10-15 m. If a material is radiated with sunlight with an intensity of 500W/m2, calculate using classical arguments the time required for an electron to gain an energy of 1eV. How does this result compare with electron emission in the photo-electric effect?


Homework Equations


E= hf


The Attempt at a Solution



I completely do not have any idea how to do this question. Can anyone provide my with the necessary equation. So far i do not have any idea which equation has " t" in it.

And the difference between classical and modern physics is :
Electrons are emitted from the surface almost instantaneously (less than 10-9 secs) even at low intensities.
Classically the electrons would require some time to absorb the incident radiation before they acquire enough kinetic energy to escape from the metal.

Any help will be greatly appreciated.
 
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Since we are given a power in the intensity, once you find the energy required in terms of the power, you can find the time.
 
Not too sure about this, but since you know the radius of the electron, you can get its area, A.

You can then get the power emitted onto the electron.

P=IA

Now P=Et, solve for t. Don't forget to use the same units here.

As for comparing, find some way to get wavelength, i guess, from the intensity you are given and use E=hf.
 
kk got it thanks.
 

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