Let's analyze each of the statements in detail to determine their correctness in respect to nuclear binding energy. (i) The mass energy of a nucleus is larger than the total mass energy of its individual protons and neutrons. This statement is actually false. Due to the binding energy, the mass of a nucleus is less than the sum of the masses of its individual protons and neutrons. This difference in mass is converted into binding energy, which is given by Einstein's mass-energy equivalence principle: E=mc2. Therefore, the mass energy of a nucleus is smaller, not larger, than the total mass energy of its constituent nucleons. (ii) If a nucleus could be separated into its nucleons, an energy equal to the binding energy would have to be transferred to the particles during the separating process. This statement is true. The binding energy is precisely the energy required to separate a nucleus into its individual protons and neutrons. Without this energy, the nucleons would remain bound within the nucleus. (iii) The binding energy is a measure of how well the nucleons in a nucleus are held together. This statement is true. The binding energy quantifies the stability of a nucleus. A higher binding energy indicates that the nucleons are held together more tightly. (iv) The nuclear fission is somehow related to acquiring higher binding energy. This statement is true. In nuclear fission, a large nucleus splits into two or more smaller nuclei, and the total binding energy of the resulting nuclei is higher than that of the original nucleus. This release of energy is what drives the process of nuclear fission. Given the analysis above, we find that statements (ii), (iii), and (iv) are true, while statement (i) is false. Thus, the correct answer is: Option B Statements (ii), (iii), and (iv) are true.