30.60.Set Up:In a time of one half-life the number of radioactive nuclei and the activity decrease by a factor of 2.Note that Solve: (a)1 half-life:2 half-lives:3 half-lives:4 half-lives:5 half-lives:(b)In time the activity has decreased by a factor of two ntimes, so This general resultagrees with the results of part (a).(c)so (d)(e)Taking the natural log of both sides of this equation gives and(f)From part (e),30.61.Set Up:Neglect the mass of the antineutrino.Solve:The mass decrease is The energy equivalent is 30.62.Set Up:The particle emitted in decay is an electron,In a time of one half-life the number of radioactive nuclei decreases by a factor of 2. Solve: (a)The daughter nucleus is (b)56 yr is so 25% is left.(c)so 30.63.Set Up:The reaction energy is where andIf neutral atom masses from Table 30.2 are used, the electron masses cancel. If energy is liberatedin the reaction. If energy is absorbed in the reaction.Solve:10.1 MeV is absorbed.
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