Solution:
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The radionuclide
decays
to
as
described by the process
.
Electron is emitted with maximum possible kinetic energy of 1.71 MeV. Therefore,
in this situation neutrino is emitted with zero kinetic energy and the recoil of
the emitted electron is completely taken by the
atom.
We will use the relativistic energy relation for determining the momentum of
the electron having the kinetic energy of 1.71 MeV.
It is expressed by the equation
.
As
, and
, we
have the equation

As the mass of
atom is
31.97 u which is very much larger than the electron mass, its speed will be
nonrelativistic. The kinetic energy of the
atom
will therefore be

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