Step 1: Analyzing compound A.
The given compound in option (A) is:
\[
\text{Br-CH}_2\text{-CH-CH}_2
\]
This is an alkene with three carbon atoms, with a bromine atom attached to the first carbon. The compound follows the IUPAC naming rules where the position of the functional group (bromine) and the double bond is indicated by the lowest possible number. The correct name is 3-bromoprop-1-ene, where:
- "prop" indicates a three-carbon chain,
- "1" indicates the position of the double bond, and
- "bromo" indicates the presence of a bromine atom attached to carbon 1
Step 2: Analyzing the other options.
- In option (B), the name “3-butyne-1-yne” is incorrect because the compound contains a triple bond at position 1, not 3. The name should be "butyne" not "butyne-1-yne".
- In option (C), “propan-1-ol” is correct, but the structure shown is a simple alkane, not an alcohol with a hydroxyl group attached at position 1.
- In option (D), “ethoxymethane” is incorrect because the correct name should be "ethoxyethane" or "diethyl ether" based on the structure.
Step 3: Conclusion.
Thus, the correct name according to IUPAC rules for option (A) is 3-bromoprop-1-ene.