Vanillin is an organic compound with the molecular formula \( C_8H_8O_3 \). It is a phenolic aldehyde with functional groups including an aldehyde, hydroxyl, and ether, and is the primary component of vanilla bean extract.
Structure of Vanillin:
\[\text{HO-C}_6H_3(\text{OCH}_3)\text{CHO}\]
Counting oxygen atoms and \(\pi\) electrons:
Total number of oxygen atoms = 3.
Total number of \(\pi\)-bonds = 4 (one in the carbonyl group and three in the benzene ring).
Since each \(\pi\)-bond has two \(\pi\)-electrons:
\[\text{Total number of \(\pi\)-electrons} = 4 \times 2 = 8\]
Therefore, the sum of oxygen atoms and \(\pi\)-electrons is:
\[3 + 8 = 11\]
In the given pentapeptide, find out an essential amino acid (\(Y\)) and the sequence present in the pentapeptide. 
Choose the correct answer from the options given below:
Given below are two statements for the following reaction sequence: 
Match List-I with List-II. 
In the given figure, the blocks $A$, $B$ and $C$ weigh $4\,\text{kg}$, $6\,\text{kg}$ and $8\,\text{kg}$ respectively. The coefficient of sliding friction between any two surfaces is $0.5$. The force $\vec{F}$ required to slide the block $C$ with constant speed is ___ N.
(Given: $g = 10\,\text{m s}^{-2}$) 
Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).
