Using a Geiger–Müller tube to prove inverse square law

AI Thread Summary
The experiment using a Geiger–Müller tube aimed to demonstrate Newton's Inverse Square Law in the context of radioactivity by measuring clicks from Strontium-90 at halved distances. The results indicated that the number of clicks appeared to double as the distance was halved, contradicting the expected inverse square relationship. Participants were encouraged to consider the constant of proportionality and how it might affect the results. A suggestion was made to plot the data on a logarithmic scale to better analyze the relationship. This approach could clarify whether the observed pattern aligns with a power law.
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



\textit{Bq}\propto\frac{1}{d^2}

The Attempt at a Solution



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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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