In a nuclear fission reaction of an isotope of mass M, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect ΔM will be :
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Question

In a nuclear fission reaction of an isotope of mass M, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect ΔM will be :

G1 Physics · Accepted Answer

Mass-energy released: ΔMc² This energy appears as kinetic energy of the three identical daughter nuclei. Each daughter nucleus has mass M/3. Therefore, ΔMc² = 3 × ½ × (M/3) × v² ΔMc² = ½Mv² v² = 2ΔM c²/M v = c√(2ΔM/M) Hence, the correct answer is Option C.