its a urgent plz answer my ques fast faculty i m unable to solve this plz hlp me as soon as possible

1-at t=o a sample is placed in a reactor an unstable nuclide is produced at a const rate R in the sample by neutron absorption the nuclide beta- decays with half life tau find the time reqd to produce 80% of the equilibrium quantity of this unstable nuclide

2- a meson of negligible vel decays to muon and a neutrino find the KE that the muon move

3- a nucleus of mass M+deltam is at rest and decays into 2 daughter nuclei of equal massM/2 EACH find speed of daughter nuclei and B.E /nucleon for parents- e1 for daughter nuclei e2 find relation b/w e1 and e2

1)
The said equilibrium is taken as secular.
Let N = no. of the unstable nuclei at a given time
Rate of formation of unstable nuclei is constant.
But rate of decay of the unstable nuclei depends upon the presence of the unstable nuclei and the constant rate at which it is form.
So the rate law will be given by

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