Production and use of X-rays

Physics A2 · Medical physics. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

In an X-ray tube, electrons are accelerated through a large p.d. and hit a metal target. As they are stopped, part of their kinetic energy is given out as X-ray photons. An electron that gives all its energy to one photon produces the photon of greatest energy, so the spectrum has a minimum wavelength.

X-rays are absorbed more by some materials than by others. Bone absorbs much more than soft tissue, so it leaves a clear shadow on the detector. Contrast is the difference in blackening between different areas of the image.

A CT scan takes many X-ray images of one section from different angles and combines them into a 2D image. Repeating this along the body and combining the sections gives a 3D image.

Rules to remember

Common mistake

Students think a larger tube current changes the minimum wavelength. Only the accelerating p.d. sets λmin; the current sets how many photons are produced.

Worked example

The accelerating p.d. in an X-ray tube is 50 kV. What is the minimum wavelength of the X-rays?

  1. Maximum photon energy = eV = 1.60 × 10−19 × 5.0 × 104 = 8.0 × 10−15 J.
  2. λmin = hc ÷ eV = (6.63 × 10−34 × 3.00 × 108) ÷ (8.0 × 10−15).
  3. λmin = (1.99 × 10−25) ÷ (8.0 × 10−15) = 2.49 × 10−11 m.

Answer: About 2.5 × 10−11 m.

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