Final answer:
The Binding Energy per Nucleon for carbon-12 (¹²C) is approximately 7.68 MeV per nucleon, so the closest given option is (a) 7.6 MeV.
Step-by-step explanation:
The question asks to determine the Binding Energy per Nucleon (BE/A) for 12C, the most abundant carbon isotope. To find this, we use the total binding energy (BE), which can be calculated from the mass defect (Am) using the equation BE = Am × 931 MeV/amu. Then, we divide BE by the atomic mass number (A) to find BE/A.
For 12C, the atomic mass unit of carbon is given as 12 amu, which implies there is no significant mass defect since 12 is the standard to which atomic mass units are compared. Since the BE provided in the reference is not for 12C, we will rely on known values specifically for 12C, which state that carbon-12 has a BE/A of approximately 7.68 MeV per nucleon. Thus the closest answer given in the options would be (a) 7.6 MeV.