Concept:
Lassaigne’s test is used for the qualitative detection of halogens in organic compounds. The compound is fused with sodium to convert covalently bonded halogens into ionic sodium halides (NaCl, NaBr, NaI, NaF). These are then treated with silver nitrate (AgNO$_3$) to form silver halide precipitates:
\[
\text{NaX} + \text{AgNO}_3 \rightarrow \text{AgX} \downarrow + \text{NaNO}_3
\]
The nature of AgX helps identify the halogen:
• AgCl → white precipitate (insoluble)
• AgBr → pale yellow precipitate
• AgI → yellow precipitate
Step 1: Behavior of fluorine in Lassaigne’s test
Fluorine forms sodium fluoride (NaF), which reacts with AgNO$_3$:
\[
\text{NaF} + \text{AgNO}_3 \rightarrow \text{AgF} + \text{NaNO}_3
\]
Step 2: Key property of AgF
Unlike other silver halides, AgF is soluble in water. Hence:
• No precipitate forms
• Test fails to detect fluorine
Step 3: Analysis of options
• (A) Volatile → incorrect
• (B) Reactive → not relevant
• (C) Explosive → incorrect
• (D) Soluble in water → correct reason
• (E) Liquid → incorrect
Final Conclusion:
Fluorine is not detected because AgF does not precipitate due to its solubility:
\[
\boxed{(D)}
\]