©Department of Physics, University of Guelph.

Click on the number or part you wish

1. The physical half life of an isotope
is 15 days. What is the corresponding decay constant in day^{-1}
and s^{-1}?

2. The values of l_{p}
and l_{b} for a particular radioactive
isotope in humans is 0.080 day^{-1} and 0.050^{-1} respectively.
What is the effective half life of the isotope in humans?

3. Two goats at Port Hopeless, Ontario accidentally
get into a field containing radioactive grass. The goat "Aristophanes"
eats twice as much grass as the goat "Demetrius". However Aristophanes'
metabolism is 1.5 times faster than that of Demetrius and the ingested
isotope has in this case a biological decay constant which is directly
proportional to metabolism. If the biological decay constant is 0.10 day^{-1}
in Demetrius, how long will it be until the two goats contain the same
concentration of isotope? Assume that the physical half life is very long
compared to the biological half lives.

4. Three bats Bewitched, Bothered and Bemildred,
each drink one cup of radioactive coffee, leaving exactly one cup in the
pot. 40.0 minutes later, two of the bats are eaten by Howland Owl. 6.00
hours after the meal, the owl has a total body count of 200 disintigrations
per minute which, by a curious coincidence, is the same count rate as the
cold coffee at that time. The effective half life for the radioactive isotope
is 4.00 hours in an owl and 1 hour and 20 minutes in a bat.

a) What is the biological half life for the isotope in a bat?

b) What is the initial count rate for the full pot of coffee?

*With affectionate apologies to POGO*