NEET-XII-Physics

46: The Nucleus

with Solutions - page 5
Qstn# iv-10 Prvs-QstnNext-Qstn
  • #10
    32P beta-decays to 32S. Find the sum of the energy of the antineutrino and the kinetic energy of the β-particle. Neglect the recoil of the daughter nucleus. Atomic mass of 32P = 31.974 u and that of 32S = 31.972 u.
    Ans : Given:
    Atomic mass of 32P, m(32P) = 31.974 u
    Atomic mass of 32S, m(32S) = 31.972 u
    Reaction:
    `` {\,\mathrm{\,P\,}}^{32}\to {\,\mathrm{\,S\,}}^{32}{+}_{1}{\,\mathrm{\,v\,}}^{0}{+}_{-1}{\,\mathrm{\,\beta \,}}^{0}``
    Energy of antineutrino and β-particle, E = [m(32P)`` -``m(32S)]c2
    = (31.974 u- 31.972 u)c2
    = 0.002 × 931 = 1.862 MeV
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