A nucleus at rest undergoes a decay emitting an α particle of de-Broglie wavelength λ=5.76×10−15 m. If the mass of the daughter nucleus is 223.610 amu and that of the α particles is 4.002 amu, determine the total kinetic energy in the final state. Hence, obtain the mass of the parent nucleus in amu. (1 amu = 931.470 MeV/c2)