In a set of copolymerization reactions, the following monomer reactivity ratios (\(r_1\) and \(r_2\)) were found for different cases. 
Which option(s) correctly identify/identifies the type of copolymerization corresponding to each Case?
In this question, we need to analyze the given reactivity ratios (\(r_1\) and \(r_2\)) to determine the type of copolymerization for each case. The reactivity ratios tell us about the tendency of each monomer to react with the other. Based on these values, the following observations can be made:
- Ideal copolymerization (P): In ideal copolymerization, the monomer reactivity ratios \(r_1\) and \(r_2\) are typically close to each other, indicating that the monomers have similar tendencies to react with each other.
In Case I, we have \(r_1 = 0.1\) and \(r_2 = 10\), which shows a large disparity between the reactivity ratios. However, this does not imply extreme reactivity, suggesting that this case corresponds to ideal copolymerization.
- Azeotropic copolymerization (Q): Azeotropic copolymerization occurs when the reactivity ratios are both very low (less than 1), causing the copolymerization to proceed with little preference for one monomer over the other.
In Case II, the reactivity ratios \(r_1 = 0.003\) and \(r_2 = 0.02\) are very low, which is typical for azeotropic copolymerization.
- Block copolymerization (R): Block copolymerization occurs when one monomer has a significantly higher reactivity ratio compared to the other, resulting in the formation of distinct blocks of the monomers.
In Case III, \(r_1 = 3.4\) and \(r_2 = 5.6\), showing a relatively large disparity in the reactivity ratios, which is characteristic of block copolymerization.
Therefore, based on the given reactivity ratios, the correct answer is (A) P- Ideal copolymerization; Q- Azeotropic copolymerization; R- Block copolymerization.
In a polymer recycling plant, polymer “X” was depolymerized by glycolysis in the presence of ethylene glycol and a suitable catalyst. The glycolysis reaction yielded the following compound: 
Identify the polymer “X” from the following options.
In a polymer recycling plant, polymer “X” was depolymerized by glycolysis in the presence of ethylene glycol and a suitable catalyst. The glycolysis reaction yielded the following compound: 
Identify the polymer “X” from the following options.
An electricity utility company charges ₹7 per kWh. If a 40-watt desk light is left on for 10 hours each night for 180 days, what would be the cost of energy consumption? If the desk light is on for 2 more hours each night for the 180 days, what would be the percentage-increase in the cost of energy consumption?
In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled (i), (ii), (iii), and (iv), respectively?

A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:
(i) The sum of Yellow balls and twice the number of Violet balls is 50.
(ii) The sum of Violet and Green balls is 50.
(iii) The sum of Yellow and Red balls is 50.
(iv) The sum of Violet and twice the number of Red balls is 50.
Which one of the following Pie charts correctly represents the balls in the bag?