Suppose a \( { }_{\mathrm{ss}}^{226} \mathrm{Ra} \) nucleus at rest and in ground state undergoe...

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Suppose a \( { }_{\mathrm{ss}}^{226} \mathrm{Ra} \) nucleus at rest and in ground state undergoes \( \alpha \)-decay to a \( { }_{86}^{22} \mathrm{Rn} \) nucleus in its excited state. The kinetic energy of the emitted \( \alpha \) particle is found to be \( 4.44 \mathrm{MeV} . \mathrm{xg}_{5}^{22} \mathrm{Rn} \) nucleus then goes to its ground state by \( \gamma \)-decay. The energy of the emitted \( \gamma \) photon is \( \mathrm{keV} \), [Given : atomic mass of \( \mathrm{ss}_{\mathrm{s}}^{22} \mathrm{Ra}=226.005 \mathrm{u} \), atomic mass of \( { }_{86}^{222} \mathrm{Rn}=222.00 \mathrm{u} \), atomic mass of a particle \( =4.000 \mathrm{u} \), \( 1 \mathrm{u}=931 \mathrm{MeV} / \mathrm{c}^{2}, \mathrm{c} \) is speed of the light ]
 
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