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A gamma radiation source (Radon 60) can be moved along a ruler.  A large lead block can obstruct the radiation from reaching the detector so that a reading for the background radiation can be obtained.  A detector and an electronic counter can count the impinging gamma rays on the detector.  By moving the source along the ruler and taking note of the count for suitable time periods a plot of the distance against the inverse of the root of the count can be made in order to verify the law.

No one gets radiation sickness.

An AQA required Physics activity.

Inverse square law for gamma radiation