A reactor operating at a power level of uses thermal neutrons producing fissions of
. If the thermal flux is
, calculate the mass of
present in the reactor? Assume
.
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Write the semi-empirical mass formula. On the basis of semi-empirical mass formula, derive the condition of stability of a given nucleus.
What is reciprocity theorem of nuclear reactions? Obtain its mathematical expression. Rewrite the reciprocity theorem considering the spin of all the involved nuclei.
For the nuclear charge density , compute the charge form factor and the mean square charge radius
.
Obtain an expression of momentum distribution of -particles in the momentum range
to
, considering the Coulomb correction term. Also, derive the energy distribution function to get the shape of the
-decay spectrum.
Define Q-value of a nuclear reaction. Calculate the Q-value of the reaction: . Given:
Whether the reaction is exoergic or endoergic?
Explain and justify the observed deviations in magnetic dipole moment and quadrupole moment of deuteron.