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A nucleus at rest undergoes a decay emitting an \( \alpha \)-particle of de-Broglie wavelength, \( \lambda=5.76 \times 10^{-15} \) \( \mathrm{m} \). If the mass of the daughter nucleus is \( 223.610 \mathrm{amu} \) and that of the \( \alpha \)-particle is \( 4.002 \mathrm{amu} \). Determine
P the total kinetic energy in the final state. Hence obtain the mass of the parent nucleus in amu. \( \left(1 \mathrm{amu}=931.470 \mathrm{MeV} / \mathrm{c}^{2}\right) \)
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