Step 1: Understanding Fibre Polymers
Fibres are polymers that exhibit high tensile strength and elasticity, making them suitable for textile and industrial applications.
Step 2: Analyzing the Given Options
1. Polyvinyl chloride (PVC) - \(\left[ \text{CH}_2 - \text{CH} - \text{Cl} \right]_n\)
✖ This is a thermoplastic polymer, not a fibre. 2. Polyethylene (PE) - \(\left[ \text{CH}_2 - \text{CH}_2 \right]_n\)
✖ This is a simple plastic material, not a fibre. 3. Polyvinylidene chloride (PVDC) - \(\left[ \text{CH}_2 - \text{C} - \text{CH} - \text{CH}_2 \right]_n\) (Cl attached to C)
✖ This is used for packaging materials but not a fibre. 4. Polyethylene terephthalate (PET) - \(\left[ \text{OC} - \text{CO} - \text{O} - \text{CH}_2 \text{CH}_2 \text{O} - \text{CO} - \text{O} \right]_n\)
✔ This is a fibre polymer known as polyester, commonly used in fabrics.
Step 3: Conclusion
Since PET is widely used as a fibre material, the correct answer is: \[ \boxed{\left[ \text{OC} - \text{CO} - \text{O} - \text{CH}_2 \text{CH}_2 \text{O} - \text{CO} - \text{O} \right]_n} \]