Identify correct statement/s:
(A) \( -\text{OCH}_3 \) and \( -\text{NHCOCH}_3 \) are activating groups.
(B) \( -\text{CN} \) and \( -\text{OH} \) are meta directing groups.
(C) \( -\text{CN} \) and \( -\text{SO}_3\text{H} \) are meta directing groups.
(D) Activating groups act as ortho- and para-directing groups.
(E) Halides are activating groups.
Choose the correct answer from the options given below:
- (A) True: \( -\text{OCH}_3 \) and \( -\text{NHCOCH}_3 \) are electron-donating groups, thus activating the aromatic ring.
- (B) True: \( -\text{CN} \) and \( -\text{OH} \) are both meta directing groups.
- (C) False: \( -\text{SO}_3\text{H} \) is actually a meta directing group, but \( -\text{CN} \) is a meta directing group too, making the statement true.
- (D) True: Activating groups usually act as ortho-para directing groups.
- (E) False: Halides are deactivating and ortho-para directing.
Thus, the correct answer is \( \text{(A)}, \text{(B)}, \text{and (E)} \).
Final Answer: (1) (A), (B) and (E) only.
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.
Consider the following reaction sequence: 
Given: Compound (x) has percentage composition \(76.6%\ \text{C}\), \(6.38%\ \text{H}\) and vapour density \(=47\). Compound (y) develops a characteristic colour with neutral \(\mathrm{FeCl_3}\) solution. Identify the {INCORRECT statement.}
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\(^{-2}\).
