Positron Emission Tomography (PET scans) provides medical imaging by chemically-bonding a radioactive element that emits positrons onto a drug that can target some region within the patient. When the positron is emitted, it immediately encounters an abundance of electrons creating two gamma rays when these two particles annihilate each other. For the positron emission 13 N→ 13C+e++v determine: (a) the maximum and minimum kinetic energy of the emitted positrons and (b) the maximum and minimum energy that the gamma ray detector must be designed for.