Wave-particle duality of light extends to matter particles by the de Broglie hypothesis. If an electron in free space is in thermal equilibrium with Cosmic Microwave Background (CMB) photons at 2.725K, and assuming electron motion can be modeled as an ‘ideal gas’ point particle (a) What is the electron’s de Broglie wavelength? (me = 9.11 x 10-31 kg) (Hint: (3/2) kBT = (1/2) meVavg 2 ) (b) What is the corresponding de Broglie frequency? (v = λf)

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Chapter27: Quantum Physics
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9. Wave-particle duality of light extends to matter particles by the de Broglie hypothesis. If an electron in free space is in thermal equilibrium with Cosmic Microwave Background (CMB) photons at 2.725K, and assuming electron motion can be modeled as an ‘ideal gas’ point particle

(a) What is the electron’s de Broglie wavelength? (me = 9.11 x 10-31 kg) (Hint: (3/2) kBT = (1/2) meVavg 2 )

(b) What is the corresponding de Broglie frequency? (v = λf)

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