Radioactive Fallout. One of the problems of in-air testing of nuclear weapons
(or, even worse, the use of such weapons!) is the danger of radioactive
fallout. One of the most problematic nuclides in such fallout is strontium-90
\(\left({ }^{90} \mathrm{Sr}\right)\), which breaks down by \(\beta\) decay with a
half-life of 28 years. It is chemically similar to calcium and the can be
incorporated into bones and teeth, where, due to its rather long halflife, it
remains for years as an internal source of radiation. (a) What is the daughter
nucleus of the \({ }^{90} \mathrm{Sr}\) decay? (b) What percentage of the
original level of \({ }^{90} \mathrm{Sr}\) is left after 56 years? (c) How long
would you have to wait for the original level to be reduced to \(6.25 \%\) of
its original value?