Final Answer:
a) Z = 49, A = 113
b) N = 64, Z = 49
could be an isotope of indium (In).
Step-by-step explanation:
The element indium (In) is characterized by its atomic number (Z) and atomic mass (A). In the given options, the isotopes of indium must have the correct atomic number and atomic mass to be valid.
1. **Option a) Z = 49, A = 113:** This option satisfies the criteria for indium as it has the correct atomic number (Z = 49) and atomic mass (A = 113). Therefore, it could be an isotope of indium.
2. **Option b) N = 64, Z = 49:** This option provides the correct atomic number (Z = 49) and also includes the neutron number (N = 64). Since the atomic mass (A) is the sum of protons and neutrons (A = Z + N), it is consistent with the properties of indium. Thus, it could also be an isotope of indium.
The other options, c) N = 61, A = 113, and d) A = 110, N = 49, do not meet the criteria for indium. Option c) has an incorrect neutron number, and option d) has an incorrect atomic mass. Understanding the relationships between atomic number, neutron number, and atomic mass is crucial for identifying potential isotopes of an element.