A scientist is working with a sample of potassium-42 which initially has an activity of 2.0 × 107 decays per second. When potassium-42 decays it emits β– particles and gamma rays.
To determine the dose received by a scientist working with the source the number of gamma ray photons incident on each cm2 of the body has to be known.
One in every five of the decaying nuclei produces a gamma ray photon. The scientist is initially working 1.50 m from the source with no shielding.
The scientist returns 12 hours later to find the dose at the same distance has reduced to 7 gamma rays per cm2 per second.
At what distance from the source could the scientist now work and receive the same dose of photons per second per cm2 as 12 hours earlier?