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A proton in a linear accelerator has a de Broglie wavelength of 129 pm.

Part A

What is the speed of the proton?
Express your answer with the appropriate units.
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Final answer:

To find the speed of a proton with a de Broglie wavelength, use the de Broglie wavelength equation and relate momentum to kinetic energy.


Explanation:

De Broglie Wavelength of a Proton

To calculate the speed of a proton with a de Broglie wavelength, we can use the de Broglie wavelength equation:
")]λ = h / p
Where λ is the wavelength, h is the Planck constant, and p is the momentum. Since momentum (p) = mass × velocity, and the momentum of a proton is related to its kinetic energy, we can use these relationships to find the speed of the proton.


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