Final answer:
The correct answer is option (a), where the mass number of carbon-13 is 13 with an atomic number of 6, and for carbon-12, the mass number is 12 with an atomic number of 6. The correct option is A.
Step-by-step explanation:
The mass number and atomic number of carbon-12 and carbon-13, respectively, are crucial in understanding isotopes in chemistry. For carbon-12, the mass number is 12 and the atomic number is 6, indicating it contains 6 protons and 6 neutrons.
In contrast, carbon-13 has a mass number of 13 and an atomic number of 6, meaning it has 6 protons and 7 neutrons. Therefore, the correct answer is option (a): The mass number and atomic number of carbon-13 is 13 and 6, while that of carbon-12 is 12 and 6, respectively.