Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
•• (Section 17.10) The half lives of certain alpha- emitting isotopes of radium and the corresponding kinetic energies released are as follows:
A | K (MeV) | t1/2(s) |
216 | 9.53 | 1.82 × 10−7 |
218 | 8.55 | 1.4 × 10−5 |
220 | 7.59 | 2.3 × 10−2 |
222 | 6.68 | 38.0 |
224 | 5.79 | 3.16 × 105 |
226 | 4.87 | 5.05 × 1010 |
(a) Make a plot of In t1/2 against K−1/2. (b) How well does the slope of your graph agree with the value predicted by Eq. (17.78)?
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