Step 1: Concept
Metamerism is a type of structural isomerism that arises due to the unequal distribution of carbon atoms on either side of a functional group.
Step 2: Meaning
For this to happen, the functional group must be able to sit "inside" the carbon chain, allowing different alkyl groups to be attached on both sides.
Step 3: Analysis
* Monovalent groups (like $-OH$ or $-CHO$) are at the end of a chain; they can only have one alkyl group attached.
* Bivalent groups (like $-O-$ in ethers, $-CO-$ in ketones, or $-NH-$ in secondary amines) have two attachment points. This allows for isomers like Ethoxyethane ($C_2-O-C_2$) and Methoxypropane ($C_1-O-C_3$).
Step 4: Conclusion
Thus, a bivalent (or polyvalent) functional group is a prerequisite for exhibiting metamerism.
Final Answer: (B)