Chapter 20 Question 3
 
a. Sketch a diagram to show the essential components in a Geiger Muller (GM) Tube. Explain the terms electron avalanche, dead time and quenching agent in connection with the operating principle of a GM tube. 8 marks
 
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When an ionization particle/photon gets inside the tube, the argon atoms are ionized along its track. The electrons produced would be accelerated to a high speed by the strong electric field near the rod to cause further ionization, producing more and more charge. This is called electron avalanche. 2
In producing electrons near the rod, positive ions are also produced. They are heavier and therefore move slower. As a result, they accumulate near the rod. Effectively, they enlarge the cross-section of the rod. During this time, when another particle gets in, the tube would not produce another pulse. This period is called dead time. It lasts until the positive ions have migrated towards the cathode. 2
As the positive ions move towards the cathode, their speed increases. This would produce another electron avalanche as they collide with the neutron argon atoms. This would produce an incorrect count, confusing the result. To avoid this secondary electron avalanche, bromine is added to the gas. The energy of the positive ions are used up in decomposing the molecules. The bromine used in this way is called quenching agent. 2
 
b. Give two reasons why the count rate of a GM tube is less than the actual activity of the specimen investigated. 2 marks
 
A GM tube measures activity on a small area on one side of the specimen, while the specimen gives out radiation in all directions. 1
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c. Discuss how the count rate of a GM tube varies with the thickness of a lead sheet placed between a g-source and the GM tube. Explain the meaning of half-thickness. 4 marks 
 
The intensity of g-rays is halved by several cm of lead. Thus, the intensity is an exponential function of thickness of lead used. 1
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Half thickness is the thickness of lead that reduces the intensity of g-rays by 50%. 1
 
d. Design an experiment to verify the inverse-square law for g-rays. 2 marks
 
Put the GM tube at a known distance r from the g-source. Record the count rate. Increase the distance r, measure the count rate again. Repeat this for a number of times. 1
Tabulate the count rate, distance r and 1/r 2.
Plot a graph of count rate against 1/r 2. A straight line graph verifies the inverse-square law for g-rays. 1
 
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