Electrons accelerated to an energy of 50 GeV have a de Broglie wavelength l small enough for them to probe the structure within a target nucleus by scattering from the structure. Assume that the energy is so large that the extreme relativistic relation p = E/c between momentum magnitude p and energy E applies. (In this extreme situation, the kinetic energy of an electron is much greater than its rest energy.) (a)What is l? (b) If the target nucleus has radius R = 5.0 fm, what is the ratio R/l?

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de Broglie Equation

The sketch of matter waves is drawn below: