The major products obtained from the reactions in List-II are the reactants for the named reactions mentioned in List-I. Match each entry in List-I with the appropriate entry in List-II and choose the correct option. 
P → 5; Q → 4; R → 2; S → 1
(P) Stephen reaction:
Stephen reaction reduces nitriles (RCN) to aldehydes. The precursor is usually benzonitrile, which is derived from benzoic acid.
\[ \Rightarrow P \rightarrow \boxed{2} \quad \text{(Benzoic acid)} \] (Q) Sandmeyer reaction:
Used to substitute an amino group on an aromatic ring (from aniline) via diazotization. Requires a nitro compound as a precursor.
\[ \Rightarrow Q \rightarrow \boxed{3} \quad \text{(Nitrobenzene)} \] (R) Hoffmann bromamide degradation reaction:
Converts amides to amines with one fewer carbon. The amine product is Toluene.
\[ \Rightarrow R \rightarrow \boxed{4} \quad \text{(Toluene)} \] (S) Cannizzaro reaction:
Occurs with aldehydes having no alpha-H (like benzaldehyde), which can be derived from oxidation of toluene.
\[ \Rightarrow S \rightarrow \boxed{1} \quad \text{(Toluene)} \]
Final Answer: \( \boxed{\text{B}} \)
The reaction sequence given below is carried out with 16 moles of X. The yield of the major product in each step is given below the product in parentheses. The amount (in grams) of S produced is ____. 
Use: Atomic mass (in amu): H = 1, C = 12, O = 16, Br = 80
As shown in the figures, a uniform rod $ OO' $ of length $ l $ is hinged at the point $ O $ and held in place vertically between two walls using two massless springs of the same spring constant. The springs are connected at the midpoint and at the top-end $ (O') $ of the rod, as shown in Fig. 1, and the rod is made to oscillate by a small angular displacement. The frequency of oscillation of the rod is $ f_1 $. On the other hand, if both the springs are connected at the midpoint of the rod, as shown in Fig. 2, and the rod is made to oscillate by a small angular displacement, then the frequency of oscillation is $ f_2 $. Ignoring gravity and assuming motion only in the plane of the diagram, the value of $\frac{f_1}{f_2}$ is:
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 ________.
Let $ \mathbb{R} $ denote the set of all real numbers. Then the area of the region $$ \left\{ (x, y) \in \mathbb{R} \times \mathbb{R} : x > 0, y > \frac{1}{x},\ 5x - 4y - 1 > 0,\ 4x + 4y - 17 < 0 \right\} $$ is
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): 