A neutron traveling with a velocity v and K'E. E collides perfectly elastically head-on with the nucleus
of an atom of mass number A at rest. The fraction of total energy retained by neutron is

Question

A neutron traveling with a velocity v and K'E. E collides perfectly elastically $$head-on$$ with the nucleusof an atom of mass number A at rest. The fraction of total energy retained by neutron is

Infinity Learn · Accepted Answer

Let the final velocity of the neutron be $$v1$$ $$Thenv1=m1$$−$$m2m1+m2u1+2m2m1+m2u2$$ Hero $$u1=u$$  and  $$u2=0$$, $$m1=1$$ and $$m2$$  $$=$$ A $$v1=1$$−$$A1+Au$$ For neutron, final K.E. $$=$$ E' ∴ E′$$=12(1)v12=121$$−$$A1+A2u2$$  Initial K.E. $$=E$$ ∴ $$E=12(1)u2$$ From eqs. (i) and [$$ii)$$, we have E′$$E=1$$−$$A1+A2$$ E′$$=1$$−$$A1+A2E$$

A neutron traveling with a velocity v and K'E. E collides perfectly elastically head-on with the nucleus
of an atom of mass number A at rest. The fraction of total energy retained by neutron is

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A neutron traveling with a velocity v and K'E. E collides perfectly elastically head-on with the nucleusof an atom of mass number A at rest. The fraction of total energy retained by neutron is

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A neutron traveling with a velocity v and K'E. E collides perfectly elastically head-on with the nucleus
of an atom of mass number A at rest. The fraction of total energy retained by neutron is