Final answer:
The energy needed to separate one proton from the 12C nucleus is approximately 931.5 MeV.
Step-by-step explanation:
The energy needed to separate one proton from the 12C nucleus can be calculated using the formula E = mc², where E is the energy, m is the mass, and c is the speed of light. The mass of a proton is approximately 1.67x10-27 kg. To calculate the energy, you would first need to find the mass difference between the 12C nucleus and a proton. Given that the nuclear mass of 11B is 11.0066 amu and the mass of 12C is 12 amu, the mass difference is 0.9934 amu. Converting amu to kilograms and plugging the values into the formula, the energy needed to separate one proton from the 12C nucleus is approximately 931.5 MeV.