Each statement that follows refers to a comparison between two radioisotopes,
\(\mathrm{A}\) and \(\mathrm{X}\). Indicate whether each of the following
statements is true or false, and why.
(a) If the half-life for \(A\) is shorter than the half-life for \(X, A\) has a
larger decay rate constant.
(b) If \(X\) is "not radioactive," its half-life is essentially zero.
(c) If A has a half-life of 10 years, and \(X\) has a half-life of 10,000 years,
A would be a more suitable radioisotope to measure processes occurring on the
40 -year time scale.