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Ch.7 - Quantum-Mechanical Model of the Atom
Chapter 7, Problem 51

What is the de Broglie wavelength of an electron traveling at 1.35 x 10^5 m/s?

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1
Identify the formula for the de Broglie wavelength: λ=hmv, where λ is the wavelength, h is Planck's constant (6.626 x 10^{-34} \text{ m}^2 \text{ kg/s}), m is the mass of the electron (9.109 x 10^{-31} \text{ kg}), and v is the velocity of the electron.
Substitute the given velocity v=1.35×105 m/s into the formula.
Substitute the known values for Planck's constant h=6.626×1034 m2 kg/s and the mass of the electron m=9.109×1031 kg into the formula.
Calculate the de Broglie wavelength by performing the division λ=6.626×10349.109×1031×1.35×105.
Simplify the expression to find the de Broglie wavelength λ.
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