Step 1: Understanding Statement-I.
Statement-I says that 2,4-Diethylcyclohexanone and 2-methyl-6-propylcyclohexanone are metameres. This statement is correct.
- Metamers are compounds that have the same molecular formula but different structural arrangements, specifically differing in the distribution of atoms or groups around a functional group. In this case, both compounds are cyclohexanones and have the same molecular formula but different alkyl groups attached to the cyclohexane ring, making them metamers.
Step 2: Understanding Statement-II.
Statement-II says that 2,2,6,6-Tetraethylcyclohexanone will show tautomerism. This statement is incorrect.
- Tautomerism involves the equilibrium between two isomers that differ in the position of a proton and a double bond. However, 2,2,6,6- Tetraethylcyclohexanone does not have the necessary structure for tautomerism. It lacks a hydrogen atom on a carbon adjacent to a carbonyl group, which is essential for tautomerism to occur (as seen in compounds like acetylacetone). Therefore, this compound will not show tautomerism.
Step 3: Conclusion.
Since Statement-I is correct and Statement-II is incorrect, the correct answer is:
\[
\text{(C) Statement-I is correct but Statement-II is incorrect.}
\]
Final Answer: (C) Statement-I is correct but Statement-II is incorrect.