The correct IUPAC name of (CH₃)₃C-CH₂Br is:
Find longest chain first!
2,2-Dimethyl-2-bromopropane
1-Bromo-2,2,2-trimethylethane
2-Bromo-1,1,1-trimethylethane
1-Bromo-2,2-dimethylpropane
Longest chain: propane; 2,2-dimethyl; Br on C-1.
Statement I: High concentration of strong nucleophilic reagent with secondary alkyl halides which do not have bulky substituents will follow \(S_N2\) mechanism.
Statement II: A secondary alkyl halide when treated with a large excess of ethanol follows \(S_N1\) mechanism.
In the light of the above statements, choose the most appropriate from the questions given below:
An organic compound $[ A ]\left( C _4 H _{11} N \right)$, shows optical activity and gives $N _2$ gas on treatment with The structure of $A$ is :
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).