Using a Geiger–Müller tube to prove inverse square law

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SUMMARY

The forum discussion focuses on using a Geiger–Müller tube to experimentally validate Newton's Inverse Square Law in the context of radioactivity, specifically with Strontium-90. The experiment recorded counts of radioactive decay clicks at various distances, revealing an unexpected doubling of clicks as the distance was halved, contradicting the expected inverse square relationship. Participants suggest that the discrepancy may arise from the constant of proportionality and recommend using a logarithmic scale to analyze the data effectively.

PREREQUISITES
  • Understanding of Newton's Inverse Square Law
  • Familiarity with Geiger–Müller tube operation
  • Basic knowledge of radioactive decay and Strontium-90
  • Experience with data plotting techniques, particularly logarithmic scales
NEXT STEPS
  • Learn how to use logarithmic scales for data analysis
  • Explore the concept of the constant of proportionality in physical laws
  • Investigate the properties and behavior of Strontium-90 in radioactive decay
  • Study experimental design principles for validating scientific laws
USEFUL FOR

Students in physics, educators conducting experiments on radioactivity, and researchers analyzing the validity of physical laws through empirical data.

beatlemaniac
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Homework Statement



Today our class used a Geiger–Müller tube for the first time, and we conducted a short experiment to prove that Newton's Inverse Square Law also applies to radioactivity. We recorded the number of clicks from a small sample of Strontium-90 for ten seconds at halved distances, as shown below...


Distance from sample (m) = 0.24
No. of clicks = 5, 6, 7, 3, 2
Average = 4.6

Distance from sample (m) = 0.12
No. of clicks = 5, 13, 5, 4, 6
Average = 6.6

Distance from sample (m) = 0.06
No. of clicks = 18, 21, 21, 27, 28
Average = 23

Distance from sample (m) = 0.03
No. of clicks = 42, 30, 45, 50, 44
Average = 42.2

Distance from sample (m) = 0.015
No. of clicks = 114, 97, 82, 96, 94
Average = 96.6


As you can see the number of clicks seems to be doubling as the distance is halved, not squaring as we expected. Any ideas on we were doing wrong?

Homework Equations



[tex]\textit{Bq}\propto\frac{1}{d^2}[/tex]

The Attempt at a Solution



?

This is my first post on the site so I hope I have adhered to all your conventions and what not :)
 
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beatlemaniac said:
As you can see the number of clicks seems to be doubling as the distance is halved, not squaring as we expected. Any ideas on we were doing wrong?

That may be due to the constant of proportionality. Can you think of a sure way to test if a given set of points follow a power law?

Hint: It involves plotting them in a special kind of chart with special scales on the axes ;)
 

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