Step 1: Understanding the Concept:
Chemical equivalence in NMR is determined by the symmetry of the molecule. Each unique environment of protons produces one signal.
Step 2: Detailed Explanation:
The molecule is 1,1'-bi(cyclohex-1-en-1-yl). It has a axis or a center of inversion, making both rings identical. We analyze unique protons in one ring:
1. Vinyl proton (C2-H): Adjacent to the connecting bond. (Signal 1)
2. Allylic protons (C3- ): Adjacent to the vinyl proton. (Signal 2)
3. Homoallylic protons (C4- ): (Signal 3)
4. Homoallylic protons (C5- ): In a different environment than C4. (Signal 4)
5. Allylic protons (C6- ): Adjacent to the quaternary carbon. (Signal 5)
Step 3: Final Answer:
The number of signals is 5.