To solve this problem, we need to analyze both statements separately.$\\$Statement I:$\\$The boiling point of three isomeric pentanes follows the order $\\$n-pentane > isopentane > neopentane.$\\$• n-pentane is a straight-chain alkane, while isopentane and neopentane are branched alkanes.$\\$• In general, straight-chain alkanes have higher boiling points than their branched isomers.$\\$• This is because straight-chain alkanes have a larger surface area, leading to stronger van der Waals forces.$\\$• Therefore, the order given in Statement I is correct.$\\$Statement II:$\\$When branching increases, the molecule attains a shape of sphere.$\\$This results in smaller surface area for contact, due to which the intermolecular forces$\\$between the spherical molecules are weak, thereby lowering the boiling point.$\\$• As branching increases, the shape of the molecule becomes more compact and spherical.$\\$• A more spherical shape reduces the surface area available for intermolecular interactions.$\\$• This leads to weaker van der Waals forces and thus a lower boiling point.$\\$• Therefore, Statement II correctly explains the effect of branching on boiling points.$\\$Conclusion:$\\$Both Statement I and Statement II are correct.$\\$Thus, the most appropriate answer is Option 3.