1. Statement I: Tropolone is an aromatic compound with a conjugated ring system containing 8 \(\pi\) electrons: - 6 \(\pi\) electrons are endocyclic (within the ring). - 2 \(\pi\) electrons from the \(>\text{C}=\text{O}\) group are exocyclic (outside the ring). Hence, tropolone satisfies the conditions of aromaticity. Therefore, Statement I is correct.
2. Statement II: The \(\pi\) electrons of the \(>\text{C}=\text{O}\) group are not involved in the aromaticity of the compound, as they are exocyclic and do not contribute to the conjugated system of the ring. Therefore, Statement II is incorrect. ### Diagram: \[ \text{Tropolone: Aromatic compound with 6 \(\pi\) endocyclic electrons} \] \[ \text{Structure:} \] \[ \text{OH} \quad \text{C}=\text{O} \]
Conclusion: Statement I is true, but Statement II is false.
Calculate the potential for half-cell containing 0.01 M K\(_2\)Cr\(_2\)O\(_7\)(aq), 0.01 M Cr\(^{3+}\)(aq), and 1.0 x 10\(^{-4}\) M H\(^+\)(aq).

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\(^{-2}\).
