The nucleus of \( { }_{90}^{230} \mathrm{Th} \) is unstable against...

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The nucleus of \( { }_{90}^{230} \mathrm{Th} \) is unstable against \( \alpha \)-decay with a half-life of \( 7.6 \times 10^{3} \) years. Write down the equation of the decay and estimate the kinetic energy of the emitted \( \alpha \)-particle from the following data : \( \mathrm{m}\left({ }_{90}^{230} \mathrm{Th}\right)=230.0381 \mathrm{amu}, \mathrm{m}\left({ }_{88}^{226} \mathrm{Ra}\right)=226.0254 \) amu and \( \mathrm{m}\left({ }_{2}^{4} \mathrm{He}\right)=4.0026 \mathrm{amu} \).
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