Help finding de Broglie wavelength for an electron

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SUMMARY

The discussion focuses on calculating the de Broglie wavelength of an electron in the first Bohr orbit of a hydrogen atom, where the electron has a kinetic energy of 13.6 eV. The relevant equations include λ = h/p and λ = h/(√(2mqV)). To find the de Broglie wavelength, one must first determine the momentum using the given kinetic energy and then apply the equations to compute the wavelength in relation to the atomic circumference.

PREREQUISITES
  • Understanding of the Bohr model of the hydrogen atom
  • Familiarity with the concept of kinetic energy in quantum mechanics
  • Knowledge of the de Broglie wavelength formula
  • Basic principles of momentum and its calculation
NEXT STEPS
  • Study the derivation of the de Broglie wavelength formula
  • Learn about the Bohr model and its implications for electron orbits
  • Explore the relationship between kinetic energy and momentum in quantum mechanics
  • Investigate the significance of Planck's constant in quantum calculations
USEFUL FOR

Students studying quantum mechanics, physics educators, and anyone interested in the application of the de Broglie wavelength in atomic physics.

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Homework Statement



An electron in the first Bohr orbit of a hydrogen atom (a_0=5.3*10^-11m) has a KE of 13.6 eV. Express the de Broglie wavelength for this electron in multiples of the atomic circumference.

Homework Equations



lambda=h/p
=h/(sqrt(2mqV)

The Attempt at a Solution



I honestly don't even really know how to get started. I believe these are the relative equations but combining the Bohr model and de Broglie wavelengths has me stumped. Any help on the correct equations to use or how to start this is greatly appreciated.
 
Physics news on Phys.org
You've been given the energy.
Use it to find momentum.
& then calculate wavelength from the momentum.
 

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