



To determine which carbocation is the most stable, we should consider the factors that stabilize carbocations. Carbocation stability is generally enhanced by:
Let us analyze each option one by one:
Therefore, the second option is the correct answer as it represents a tertiary carbocation, offering maximum stability among the given options.
Given:
- The carbocation intermediate is stabilized by the following effects: - **Inductive Effect (+I)**: Electron-withdrawing groups stabilize the carbocation. - **Resonance Effect (+M)**: Groups with lone pairs can donate electron density through resonance to stabilize the carbocation. - **Hyperconjugation**: Delocalization of electrons from adjacent C-H bonds to the empty p-orbital of the carbocation center stabilizes the carbocation.
In **Option 2**, the carbocation is conjugated with a stronger +M group \( -OCH_3 \), which provides resonance stabilization to the positive charge on the carbocation. \[ \text{Resonance Effect:} \quad -OCH_3 \text{ provides electron density through resonance}. \] This leads to increased stabilization of the carbocation in **Option 2** compared to others.
The carbocation in **Option 2** is the most stable due to the resonance stabilization provided by the \( -OCH_3 \) group.
Statement-1: \( \text{ClF}_3 \) has 3 possible structures.
Statement-2: \( \text{III} \) is the most stable structure due to least lone pair-bond pair (lp-bp) repulsion.

Which of the following options is correct?
A molecule with the formula \( AX_4Y \) has all its elements from p-block. Element A is rarest, monoatomic, non-radioactive from its group and has the lowest ionization enthalpy value among A, X, and Y. Elements X and Y have first and second highest electronegativity values respectively among all the known elements.
The shape of the molecule is:
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\(^{-2}\).
