Step 1: Understand the behavior of polymer crystals.
Polymer crystals are not as regular as small molecular crystals, which results in a range of melting points. This is because the polymer chains, being large and flexible, can adopt different configurations that are not in equilibrium, thus leading to multiple melting points.
Step 2: Analyze the options.
- (A) absence of intermolecular interactions: Polymers do have intermolecular interactions, so this is incorrect.
- (B) absence of long-range ordering: This is not the main reason for the range of melting points. Polymers do exhibit some long-range ordering in the crystalline phase.
- (C) polymer chains are not in thermodynamic equilibrium in a metastable state: This is correct because the polymer chains can be in a metastable state, leading to a distribution of melting points.
- (D) melting behavior of polymer crystal is independent of sample thermal history: This is incorrect, as the thermal history does affect the melting behavior.
Step 3: Conclusion.
The reason for the range of melting points in polymer crystals is due to the polymer chains not being in thermodynamic equilibrium, leading to metastable states.
Final Answer: \text{(C) the polymer chains are not in thermodynamic equilibrium in a metastable state}
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?