Production & Use of X-rays (Cambridge (CIE) A Level Physics): Revision Note
Exam code: 9702
Production of X-rays
- X-rays are short wavelength, high-frequency part of the electromagnetic spectrum - They have wavelengths in the range 10−8 to 10−13 m 
 
- X-rays are produced when fast-moving electrons rapidly decelerate and transfer their kinetic energy into photons of EM radiation 
Producing X-rays
- At the cathode (negative terminal), the electrons are released by thermionic emission 
- The electrons are accelerated towards the anode (positive terminal) at high speed 
- When the electrons bombard the metal target, they lose some of their kinetic energy by transferring it to photons 
- The electrons in the outer shells of the atoms (in the metal target) move into the spaces in the lower energy levels 
- As they move to lower energy levels, the electrons release energy in the form of X-ray photons 
- When an electron is accelerated, it gains energy equal to the electronvolt; this energy can be calculated using: 
- This is the maximum energy that an X-ray photon can have 
- Therefore, the maximum X-ray frequency fmax, or the minimum wavelength λmin, that can be produced is calculated using the equation: 
Maximum frequency: 
Minimum wavelength: 
- Where: - e = charge of an electron (C) 
- V = voltage across the anode (V) 
- h = Planck’s constant (J s) 
- c = speed of light (m s-1) 
 
Worked Example
A typical spectrum of the X-ray radiation produced by electron bombardment of a metal target is shown below.

Explain why:
(a) a continuous spectrum of wavelengths is produced.
(b) the spectrum has a sharp cut-off at short wavelengths.
Answer:
Part (a)
- Photons are produced whenever a charged particle is accelerated towards a metal target 
- The wavelength of the photons depends on the magnitude of the acceleration 
- The electrons which hit the target have a distribution of accelerations, therefore, a continuous spectrum of wavelengths is observed 
Part (b)
- The minimum wavelength is equal to 
- This equation shows the maximum energy of the electron corresponds to the minimum wavelength - Therefore, the higher the acceleration, the shorter the wavelength 
 
- At short wavelengths, the sharp cut-off occurs as each electron produces a single photon, so, all the electron energy is given up in one collision 
Using X-rays in medical imaging
- X-rays have been highly developed to provide detailed images of soft tissue and even blood vessels 
- When treating patients, the aims are to: - reduce the exposure to radiation as much as possible 
- improve the contrast of the image 
 
Reducing exposure
- X-rays are ionising, meaning they can cause damage to living tissue and can potentially lead to cancerous mutations 
- Therefore, healthcare professionals must ensure patients receive the minimum dosage possible 
- In order to do this, aluminium filters are used - This is because many wavelengths of X-ray are emitted 
- Longer wavelengths of X-ray are less penetrating which means they are more likely to be absorbed by the body 
- This means they do not contribute to the image and pose more of a health hazard 
- The aluminium sheet absorbs these long wavelength X-rays making them safer 
 
Contrast and sharpness
- Contrast is defined as: - The difference in the degree of blackening between structures 
- Contrast allows a clear difference between tissues to be seen 
- Image contrast can be improved by: - using the correct level of X-ray hardness: hard X-rays for bones, soft X-rays for tissue 
- using a contrast media 
 
- Sharpness is defined as: - How well-defined the edges of structures are 
- Image sharpness can be improved by: - using a narrower X-ray beam 
- reducing X-ray scattering by using a collimator or lead grid 
- smaller pixel size 
 
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