The question asks for the correct order of ionic radii for the nitrogen family, which includes the following ions: \( \text{N}^{3-}, \text{P}^{3-}, \text{As}^{3-}, \text{Sb}^{3-}, \text{Bi}^{3-} \). The order of ionic radii can be predicted based on the periodic trends:
Understanding Periodic Trends: As we move down a group in the periodic table, the size of the atoms increases. This occurs because each subsequent element has an extra electron shell compared to the one above it.
Application to Ionic Radii: In the case of isoelectronic ions (ions with the same number of electrons), the ionic radius increases with an increase in atomic number. Thus, in the nitrogen family:
Correct Order: According to the periodic trend, the correct order of ionic radii for the nitrogen family is \( N^{3-} < P^{3-} < As^{3-} < Sb^{3-} < Bi^{3-} \).
Elimination of Incorrect Options:
Hence, the correct answer is: \( N^{3-} < P^{3-} < As^{3-} < Sb^{3-} < Bi^{3-} \).