Consider the following compounds:
(i) CH₃CH₂Br
(ii) CH₃CH₂CH₂Br
(iii) CH₃CH₂CH₂CH₂Br
Arrange the compounds in the increasing order of their boiling points.
(iii) < (ii) < (i)
Step 1: Understanding boiling points. Boiling points are affected by molecular size and the type of intermolecular forces. The more carbon atoms and longer the chain, the higher the boiling point.
Step 2: Analysis of the compounds.
- Compound (i) CH_3CH_2Br has a relatively small chain, resulting in a lower boiling point.
- Compound (ii) CH_3CH_2CH_2Br has a longer chain, leading to higher boiling point.
- Compound (iii) CH_3CH_2CH_2Br, with the largest size, has the highest boiling point.
Step 3: Conclusion. Thus, the correct order of boiling points is (i)<(ii)<(iii), corresponding to option (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 \(P,O,Q\).