To solve this problem, we need to evaluate each statement about the polymers and determine the correct ones.
1. Analyzing Option A: The polymerization of chloroprene gives natural rubber.
Chloroprene is the monomer used in the production of neoprene, not natural rubber. Natural rubber is obtained from the polymerization of isoprene, not chloroprene. Therefore, this statement is incorrect.
2. Analyzing Option B: Teflon is prepared from tetrafluoroethene by heating it with persulphate catalyst at high pressures.
Teflon is indeed prepared by the polymerization of tetrafluoroethylene (TFE), but the process involves heating it in the presence of a free radical initiator like persulfate, at high temperatures and pressures. This statement is correct.
3. Analyzing Option C: PVC are thermoplastic polymers.
Polyvinyl chloride (PVC) is a thermoplastic polymer, meaning it can be melted and remolded. This statement is correct.
4. Analyzing Option D: Ethene at 350-570 K temperature and 1000-2000 atm pressure in the presence of a peroxide initiator yields high-density polythene.
This statement is correct. High-density polyethylene (HDPE) is produced under high pressure and temperature conditions using a peroxide initiator.
Final Answer: The correct options are B, C.

The center of a disk of radius $ r $ and mass $ m $ is attached to a spring of spring constant $ k $, inside a ring of radius $ R>r $ as shown in the figure. The other end of the spring is attached on the periphery of the ring. Both the ring and the disk are in the same vertical plane. The disk can only roll along the inside periphery of the ring, without slipping. The spring can only be stretched or compressed along the periphery of the ring, following Hooke’s law. In equilibrium, the disk is at the bottom of the ring. Assuming small displacement of the disc, the time period of oscillation of center of mass of the disk is written as $ T = \frac{2\pi}{\omega} $. The correct expression for $ \omega $ is ( $ g $ is the acceleration due to gravity): 
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
Polymers are large molecules composed of repeating subunits called monomers. The process of joining monomers to form a polymer is called polymerization. Polymers can be made up of natural or synthetic materials and can have a range of physical and chemical properties.
There are two main types of polymers: addition polymers and condensation polymers. Addition polymers are formed by the addition of monomers that have unsaturated bonds, such as ethylene, which forms polyethylene. Condensation polymers are formed by the condensation of monomers that have two or more reactive groups, such as nylon, which is formed by the condensation of diamine and dicarboxylic acid.
Polymers have a wide range of applications due to their unique properties. They can be flexible or rigid, transparent or opaque, and can have different levels of strength and durability. Polymers are used in a variety of products, including plastics, textiles, coatings, adhesives, and composites.
Polymers have also had a significant impact on medicine. Synthetic polymers, such as polyethylene glycol, are used in drug delivery systems, while biocompatible polymers, such as poly(lactic acid) and poly(glycolic acid), are used in tissue engineering and drug delivery. Additionally, natural polymers such as proteins and polysaccharides play important roles in biological processes and are used in biotechnology applications.
The study of polymers, known as polymer science or macromolecular science, has led to the development of new materials and technologies that have revolutionized many industries.