Reminds me of the famous experiment which proved that alpha particles are helium nuclei.
Here's a write up.
http://web.lemoyne.edu/~Giunta/EA/ROYDSann.HTML
It says "We have seen that in the experiments above described helium was not observed in the outer tube in sufficient quantity to show the
characteristic yellow line until two days had elapsed. Now the equilibrium amount of emanation from 100 milligrams of radium should produce helium at
the rate of about
.03 c.mm. per day."
Good luck getting 100,000 smoke detectors worth of alpha emitters.
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