Maximum Kinetic Energy of Photoelectrons from Irradiated Hydrogen Atoms

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SUMMARY

The maximum kinetic energy of photoelectrons emitted from irradiated hydrogen atoms with a wavelength of 85.5 nm is calculated to be 0.9 eV. Additionally, some electrons exhibit energies up to 10.2 eV greater than this maximum, attributed to the uncertainty in the energy of the electrons due to their gas state, where atoms are not fixed and can possess additional kinetic energy. This phenomenon highlights the impact of atomic motion on electron energy levels in gaseous hydrogen.

PREREQUISITES
  • Understanding of the photoelectric effect
  • Knowledge of hydrogen atom energy levels
  • Familiarity with electron volt (eV) as a unit of energy
  • Basic principles of quantum mechanics and uncertainty
NEXT STEPS
  • Study the photoelectric effect and its applications in modern physics
  • Explore the energy level transitions in hydrogen atoms
  • Learn about the uncertainty principle in quantum mechanics
  • Investigate the behavior of gases and atomic motion in relation to electron energies
USEFUL FOR

Students studying quantum mechanics, physicists interested in atomic interactions, and educators teaching the principles of the photoelectric effect and atomic energy levels.

kent davidge
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Homework Statement



A sample of hydrogen atoms is irradiated with light with wavelength 85.5 nm, and electrons are observed leaving the gas.

(a) If each hydrogen atom were initially in its ground level, what would be the maximum kinetic energy in electron volts of these photoelectrons? 0.9 eV
(b) A few electrons are detected with energies as much as 10.2 eV greater than the maximum kinetic energy calculated in part (a). How can this be?

Homework Equations

The Attempt at a Solution


[/B]
For the answer of part (b) Is it correct to say that it's caused by the uncertainty in the Energy of the electrons?

 
Last edited:
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Think about what a gas is. Are all the atoms fixed in place and at rest?
 
gneill said:
Think about what a gas is. Are all the atoms fixed in place and at rest?
hehe, I just realized it. Thank you.
 

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