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(a) Energy is required to separate a nucleus into its constituent nucleons, as t

ID: 2121818 • Letter: #

Question

(a) Energy is required to separate a nucleus into its constituent nucleons, as the drawing indicates; this energy is the total binding energy of the nucleus. In a similar way one can speak of the energy that binds a single nucleon to the remainder of the nucleus. For example, separating nitrogen 7N16 into 7N15 and a neutron takes energy equal to the binding energy of the neutron. Find the energy (in MeV) that binds the neutron to the 7N16 nucleus by considering the mass of 7N15

(atomic mass = 15.000108 u) and the mass of 0n1(atomic mass = 1.008665 u), as compared to the mass of 7N16(atomic mass = 16.006099 u).(b) Similarly, one can speak of the energy that binds a single proton to the 7N16 nucleus. Following the procedure outlined in part (a), determine the energy (in MeV) that binds the proton (atomic mass = 1.007825 u) to the 7N16 nucleus. (c) Which nucleon is more tightly bound, the neutron or the proton?


Explanation / Answer

(a) Energy is required to separate a nucleus into its constituent nucleons, as t