Arrange the following compounds in increasing order of their boiling points:

Understanding Factors Affecting Boiling Point
1. Molecular Weight (Size):
Larger molecules generally have higher boiling points due to increased van der Waals forces.
2. Branching:
Branching decreases the surface area for intermolecular interactions, leading to lower boiling points.
3. Polarity:
Polar molecules have stronger dipole-dipole interactions, resulting in higher boiling points than nonpolar molecules of similar size.
Analyzing the Compounds
(i) 2-bromo-3-methylbutane:
This molecule has branching.
(ii) 1-bromobutane:
This is a straight-chain alkyl halide.
(iii) 2-bromo-2-methylpropane:
This molecule has significant branching around the bromine atom.
Determining the Order
1. Molecular Weight:
All three compounds have a similar molecular weight due to the presence of bromine and a 4-carbon alkyl chain. However, compound (ii) has a slightly higher molecular weight as it is a straight-chain.
2. Branching:
Branching significantly impacts boiling points. Compound (iii) has the most branching, causing it to have the lowest boiling point, followed by compound (i). Compound (ii) is straight-chained.
Therefore, the order of increasing boiling point should be: (iii) < (i) < (ii).
Answer:
The correct answer is (B).

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 \(P,O,Q\).