Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 3, Problem 4CQ
To determine

Comparison between X-rays produced by protons and that when smashed with electrons.

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Suppose we produce X-rays not by smashing electrons into targets, but by smashing protons, which are far more massive. If the same accelerating potential difference is used for both, how would the cutoff wavelengths of the two X-rays compare? Explain. (Hint: the accelerating potential difference causes electrical potential energy to be converted into kinetic energy, that is, Δ? = −Δ? where electrical potential energy ? = ?V and V is the electrical potential difference the charged particles travel through.
Calculate the de Broglie wavelength of a 5.5-MeV a particle emitted from an 241Am nucleus. Could this particle exist inside the 241Am nucleus (diameter ≈ 1.6 x 10-14 m)? Explain.
In a supercollider at CERN, protons can be accelerated to velocities of 0.75c. What are their de Broglie wavelengths at this speed?
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