6.30 Consider the decay of a free neutron at rest : n  p + e .Show that the two-body decay of this type must necessarily give an electron of fixed energy and, therefore, cannot account for the observed continuous energy distribution in the β -decay of a neutron or a nucleus (Fig. 6.19).

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    Answered by

    Payal Gupta | Contributor-Level 10

    4 months ago

    6.30 The decay process of free neutron at rest is given as:

    ? p+e?

    From Einstein's mass-energy relation, we have the energy of electron as?  mc2 where,

    ? m = Mass defect = Mass of neutron – ( Mass of proton + mass of electron)

    c = speed of light

    ? m and c are constant. Hence, the given two-body decay is unable to explain the continuous energy distribution in the ?  -decay  of a neutron or a nucleus. The presence of neutrino von the LHS of the decay correctly explain the continuous energy distribution.

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