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I NEED HELP WITH QUESTION 2 PLEASE! NOT 1! An important- radionuclide produced i

ID: 3163475 • Letter: I

Question

I NEED HELP WITH QUESTION 2 PLEASE! NOT 1!

An important- radionuclide produced in water-cooled nuclear reactors is N-16 which has a half-life of 7.13 s and emits very energetic gamma rays of 6.1 and 7.1 MeV. This nuclide is produced by the endoergic reaction O-16 (n, p) N-16. What is the minimum kinetic energy of the neutron needed to produce N-16? A 2-McV neutron is scattered elastically by C-12 through an angle of 45 degrees (measured in the lab frame), (a) What is the scattered neutrons kinetic energy? (b) What is the kinetic energy of the recoil C-12? What is the kinetic energy of the center of mass? What is the scattering angle in the center-of-mass frame? (e + f) Repeat (a) and (b) is the angle was given in the center-of-mass frame?

Explanation / Answer

student required 2 nd question only:

Answer 2:

the average neutron energy loss is,

     dE = (1/2)[1 - alpha]E

          = (1/2)[1 - [(A - 1)/ (A+1)]2]E

          = (1/2)[1 - [(12 - 1)/ (12+1)]2](2 MeV)

         = 0.284 MeV

Thus, the energy of the scattered neutron is,

   2 MeV - 0.284 MeV = 1.72 MeV

The recoil energy is,

   E_recoil = dE = 0.284 MeV

kinetic energy: 0.284 MeV

scattered angle is, 45o