List I | List II | ||
| (P) | ![]() | (1) | ![]() |
| (Q) | ![]() | (2) | ![]() |
| (R) | ![]() | (3) | ![]() |
| (S) | ![]() | (4) | ![]() |
| (5) | ![]() | ||
Step 1: Understanding the Reaction Sequences
Step 2: Conclusion
Thus, the correct answer is (A) P-3, Q-5, R-4, S-1.
To solve the problem, we analyze each reaction sequence and determine the corresponding product structure based on the given reagents and conditions.
1. For (P):
- Ozonolysis of cyclohexene with Zn and aqueous NaOH gives a dione intermediate.
- Treatment with ethylene glycol and PTSA forms an acetal.
- Hydroboration-oxidation (BH3, H2O2, NaOH) adds hydroxyl groups.
- Acidification and reduction (H3O+, NaBH4) complete the process.
- The product corresponds to structure (3), a diol on cyclopentane with a methyl substituent.
2. For (Q):
- Similar steps applied to methylcyclopentene.
- Results in a diol with hydroxyls and a methyl group, structure (5).
3. For (R):
- Starting from methylcyclopentenone.
- Protection, oxymercuration-demercuration, acidification, and reduction lead to structure (4).
4. For (S):
- Starting from methylcyclopentenone.
- Protection, hydroboration-oxidation, acidification, and reduction lead to structure (1).
Final Matching:
P - 3, Q - 5, R - 4, S - 1
Final Answer:
Option (A)
Given below are two statements:
Statement I: Dimethyl ether is completely soluble in water. However, diethyl ether is soluble in water to a very small extent.
Statement II: Sodium metal can be used to dry diethyl ether and not ethyl alcohol.
In the light of the given statements, choose the correct answer from the options given below:
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 ________.