What is the shortest wavelength x -ray produced by a 0.20 -MV x -ray machine?

Name: Problem 66, Chapter 27: College Physics
Uploaded: 2020-05-23T16:30:41-08:00
Duration: 2 min 16 s
Channel: Guilherme Barros
Description: What is the shortest wavelength x -ray produced by a 0.20 -MV x -ray machine?

step 1 In this exercise, we're given an x -ray machine with a voltage of 0 .2 megavolts, and we're aske

What is the shortest wavelength x -ray produced by a 0.20...

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Key Concepts

X-Ray Production

X-rays are produced when high-speed electrons strike a metal target. The rapid deceleration of electrons leads to the generation of x-rays through processes such as bremsstrahlung radiation.

Bremsstrahlung Radiation

This is the radiation emitted when electrons are decelerated or deflected by the electric fields of atomic nuclei in the target material. It results in a spectrum of x-ray energies, with the shortest wavelength corresponding to the highest energy photons.

Photon Energy-Wavelength Relationship

The energy of a photon is inversely proportional to its wavelength, as described by the equation E = hc/?, where h is Planck’s constant and c is the speed of light. This relationship is fundamental in determining the minimum wavelength produced in x-ray generation.

Electron Acceleration and Potential Difference

Accelerating electrons through a potential difference gives them kinetic energy. When these electrons impact the target, their kinetic energy is converted into photon energy, establishing a direct link between the applied voltage and the maximum energy (and hence minimum wavelength) of the x-rays produced.

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