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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Characteristic and continuous X-ray spectra

Separate a continuum edge from characteristic lines

Electrons start with negligible kinetic energy and accelerate through 25 kV before striking an X-ray target. Use hc = 1240 eV·nm.

What is the shortest possible continuum X-ray wavelength in this model?

Organize the givens & assumptions
  • Accelerating voltage = 25 kV
  • hc = 1240 eV·nm

Ideal bremsstrahlung endpoint: one electron can transfer at most its entire kinetic energy to one photon; target recoil is neglected. This asks the continuum cutoff, not a characteristic atomic line.

  1. A0.0496 nm0.0496\ \mathrm{nm}
  2. B49.6 nm49.6\ \mathrm{nm}
  3. C0.0248 nm0.0248\ \mathrm{nm}
  4. D0.496 nm0.496\ \mathrm{nm}

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