Moderator is used in a nuclear to slow down fast neutrons generated after a fission event in the reactor consider a fast neutron (mass m_(n)) moving

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Moderator is used in a nuclear to slow down fast neutrons generated after a fission event in the reactor consider a fast neutron (mass m_(n)) moving at speed v. The neutron hits a moderator nucleus (Mass M), which is originally static, and gets scattered elastically by 180^(@)
(a) Find te rato of kinetic energy of the neutron after and before collision.
(b) Show that when Mgtgtm_(n), neutron does not lose much energy and therefore, a moderator should have a small mass number.

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Correct Answer - ((M-m_(n))/(M+m_(n)))^(2)