Step 1: Understanding the Concept:
Atomic radius trends in the periodic table:
1. Across a Period (Left to Right):
Atomic radius decreases due to increased effective nuclear charge.
2. Down a Group (Top to Bottom):
Atomic radius increases due to the addition of electron shells.
Step 3: Detailed Explanation:
Let's locate the elements:
- Period 2: N (Group 15), F (Group 17).
Trend: Radius decreases \( \text{N} \textgreater \text{F} \). So, \( \text{F} \textless \text{N} \).
- Period 3: Na (Group 1), Si (Group 14), P (Group 15).
Trend: Radius decreases \( \text{Na} \textgreater \text{Si} \textgreater \text{P} \). So, \( \text{P} \textless \text{Si} \textless \text{Na} \).
- Comparing Period 2 vs Period 3: Elements in Period 3 generally have larger radii than those in Period 2 due to an extra shell.
So, \( \{ \text{F, N} \} \textless \{ \text{P, Si, Na} \} \).
Combining the orders:
Smallest to Largest:
Period 2: \( \text{F} \textless \text{N} \)
Period 3: \( \text{P} \textless \text{Si} \textless \text{Na} \)
Overall Order: \( \text{F} \textless \text{N} \textless \text{P} \textless \text{Si} \textless \text{Na} \)
Step 4: Final Answer:
The correct increasing order is \( \text{F} \textless \text{N} \textless \text{P} \textless \text{Si} \textless \text{Na} \).