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Chapter 31: Q22PE (page 1149)
Electron capture decay equation of 106In
The 尾- Decay equation of106In is \(_{49}^{106}I{n_{57}} + {e^ - } \to _{48}^{106}C{d_{58}} + {\nu _e}\).
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\({{\rm{\beta }}^{\rm{ - }}}\) decay of\(^{\rm{3}}{\rm{H}}\)(tritium), a manufactured isotope of hydrogen used in some digital watch displays, and manufactured primarily for use in hydrogen bombs
When an electron and positron annihilate, both their masses are destroyed, creating two equal energy photons to preserve momentum.
(a) Confirm that the annihilation equation \({e^ + } + {e^ - } \to \gamma + \gamma \) conserves charge, electron family number, and total number of nucleons. To do this, identify the values of each before and after the annihilation.
(b) Find the energy of each纬 ray, assuming the electron and positron are initially nearly at rest.
(c) Explain why the two纬 rays travel in exactly opposite directions if the centre of mass of the electron-positron system is initially at rest.
Suppose the range for5.0 MeV伪 ray is known to be2.0mmin a certain material. Does this mean that every5.0 MeV伪 a ray that strikes this material travels 2.0mm , or does the range have an average value with some statistical fluctuations in the distances traveled? Explain.
\({{\rm{\beta }}^{\rm{ + }}}\)decay of \(^{{\rm{50}}}{\rm{Mn}}\)
(a) Write the complete \({{\rm{\beta }}^{\rm{ - }}}\) decay equation for the neutron.
(b) Find the energy released in the decay.
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