Step 1: Understanding the Question:
The question tests various organic preparation methods specifically for Methane (\(CH_4\)), the simplest alkane.
Step 2: Detailed Explanation:
Statement-I:
- Decarboxylation of sodium acetate (\(CH_3COONa + NaOH \xrightarrow{CaO, \Delta} CH_4\)) works.
- Kolbe’s electrolysis of sodium acetate gives Ethane (\(C_2H_6\)) at the anode, not Methane.
- \(CH_3MgBr\) reacting with water/alcohol (\(H^+\) source) gives Methane.
Since Kolbe's electrolysis fails to produce methane, Statement-I is overall incorrect.
Statement-II:
- Unsaturated hydrocarbons (alkenes/alkynes) have at least 2 carbons. Hydrogenation of these will produce alkanes with 2 or more carbons. Thus, methane cannot be prepared from them.
- Wurtz reaction involves coupling of two alkyl groups (\(R-X + 2Na + X-R \to R-R\)). The smallest product possible is Ethane (\(CH_3-CH_3\)). Thus, methane cannot be prepared by the Wurtz reaction.
Statement-II is correct.
Step 3: Final Answer:
Statement-I is incorrect and Statement-II is correct.