Converting de Broglie Wavelengths for Electrons at Different Voltages?

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SUMMARY

The discussion focuses on calculating the ratio of de Broglie wavelengths for electrons accelerated through 50 volts and 200 volts. The key equation used is the energy gained by an electron, defined as Energy = Charge of electron * Voltage, where 1 eV represents the energy gained by an electron accelerated through 1 volt. To find the ratio of wavelengths, participants emphasize the importance of using the de Broglie wavelength formula and dividing the results for each voltage scenario.

PREREQUISITES
  • Understanding of de Broglie wavelength formula
  • Knowledge of electron charge and energy conversion (1 eV = energy per volt)
  • Basic principles of quantum mechanics
  • Familiarity with voltage and its relation to energy
NEXT STEPS
  • Study the de Broglie wavelength formula in detail
  • Learn about energy conversion from volts to electronvolts (eV)
  • Explore the implications of voltage changes on electron behavior
  • Investigate quantum mechanics principles related to particle-wave duality
USEFUL FOR

Students in physics, particularly those studying quantum mechanics, as well as educators and anyone interested in the behavior of electrons under varying voltages.

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Homework Statement


What possibility can be the ratio of the de Broglie wavelengths for electrons accelerated through 50 volts and 200 volts, initially having same wavelengths?


Homework Equations


I have literally no idea how to convert volts into energy, here i somewhat i think,
Energy= Charge of electron * given volt.
if the above equation is correct then should i add the calculated energy to initial energy,
that will be initial energy+ calculated energy, the same way for both the potential differences given?


The Attempt at a Solution

 
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1eV is the energy gained by one electron accelerated through a potential of 1V ... do everything in eV.
You only need the ratios ... so write out the formula for the debroglie wavelengths for each case and divide them out.
 

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