☰ Contents · Physics

Particle detection and the decay law

Lessons 40–41 · 2 lessons · N. Sh. Turdiyev, K. A. Tursunmetov, A. G. Ganiyev, K. T. Suyarov, J. E. Usarov, A. K. Avliyoqulov. Physics Grade 11, 1st edition. Niso Poligraf Publishing House, Tashkent, 2018
40

Methods of detecting radioactive radiation and particles

Textbook: pp. 164–166
GoalKnow the principles of particle detectors (Geiger–Müller counter, scintillation counter, Wilson and bubble chambers, photographic emulsion); analyse tracks in a magnetic field.
New words
Geiger–Müller counter · Geyger–Myuller hisoblagichiWilson cloud chamber · Vilson kamerasibubble chamber · pufakli kameratrack · trek (iz)
Explanation

Nuclear particles are invisible, so detectors register their effect on matter: ionisation, flashes of light, blackening of photographic emulsion. In a Geiger–Müller counter a high voltage is applied to a tube of low-pressure gas; if a particle ionises the gas, a brief discharge and a current pulse result, each pulse corresponding to one particle. In a scintillation counter a particle produces a flash of light in a crystal, which a photomultiplier turns into an electrical pulse. In a Wilson chamber tiny droplets form on the ions in supersaturated vapour, leaving a visible track; in a bubble chamber superheated liquid boils along the particle's path, giving a line of bubbles, and because the liquid is dense it also stops fast, high-energy particles. In photographic emulsion the path shows up as a row of dark grains after development. If the chamber is placed in a magnetic field the track bends: r = mυ/(|q|B); the radius gives the momentum and the direction of bending the sign of the charge. An alpha particle ionises gas strongly and leaves a thick, short track, a beta particle a thin, longer one; a gamma quantum leaves no track itself and is detected through secondary electrons.

Worked examples
A proton enters a field B = 0.5 T perpendicular to it at υ = 4.8·10⁶ m/s: r = mυ/(eB) = 1.67·10⁻²⁷·4.8·10⁶/(1.6·10⁻¹⁹·0.5) ≈ 0.1 m = 10 cm.
A counter registered N = 400 pulses. For a random process the typical error is ≈ √N = 20, that is 5 %; to halve the error one must count 4 times longer. Subtracting the background (say 30 in 10 minutes) gives the net count.
Class activity

Students do not work with radioactive sources, neither at home nor at school; only specialists do this, with proper safety measures. As an exercise estimate with a ruler the radius of curvature of a track on a printed photograph of particle tracks (from a book or a web image).

Practice
1
Name the counter based on gas ionisation.
2
A counter registered 1800 pulses in 10 minutes. What is the counting rate in s⁻¹?
3
In a magnetic field a particle of the same charge and mass doubles its speed. How does the track radius change?
4
Why is an alpha particle's track thick and short?