How Is Kinetic Energy Calculated in the Photoelectric Effect?

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SUMMARY

The kinetic energy of an electron ejected from a hydrogen atom due to the photoelectric effect can be calculated using the equation E = W + KE, where E is the energy of the incoming photon (15.2 eV), W is the work function (binding energy of the electron), and KE is the kinetic energy of the ejected electron. In this scenario, the binding energy of the electron in the ground state of hydrogen is approximately 13.6 eV. Therefore, the kinetic energy of the ejected electron is calculated as KE = E - W = 15.2 eV - 13.6 eV = 1.6 eV. This demonstrates the conservation of energy principle in the photoelectric effect.

PREREQUISITES
  • Understanding of the photoelectric effect and its equations
  • Knowledge of photon energy calculations
  • Familiarity with the concept of binding energy in hydrogen atoms
  • Basic principles of conservation of energy
NEXT STEPS
  • Study the photoelectric effect equations in detail
  • Learn about the binding energy of electrons in various atoms
  • Explore the implications of conservation of energy in quantum mechanics
  • Investigate the applications of the photoelectric effect in modern technology
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Students studying quantum mechanics, physics educators, and anyone interested in the principles of the photoelectric effect and energy calculations in atomic systems.

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Homework Statement


A photon with an energy of 15.2 eV enters a hydrogen atom in the ground state and ionizes it. With what kinetic energy will the electron be ejected from the atom?


Homework Equations


Photoelectric Effect equations.


The Attempt at a Solution


E=W+KE

I don't understand how to find the Kinetic Energy with the information I'm given. I need to understand this by tomorrow, so can someone please explain it to me and walk me through the problem ASAP?

Thank you in advance.
 
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Conservation of energy is all you need. At the beginning, you have a 15.2 eV photon and a second electron in the ground state (what's its energy?). At the end, the photon has been absorbed and all you have is one free electron.
 
yes, the electron is bound to the proton with a certain energy. you must supply this much to break it free, any extra goes to KE of the electron.
 

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