Statement I discusses the boiling points of three isomeric pentanes: n-pentane, isopentane, and neopentane. The order mentioned is: n-pentane > isopentane > neopentane. This statement is correct because boiling point is influenced by the surface area available for intermolecular forces. n-Pentane, being a linear molecule, has the largest surface area, resulting in greater van der Waals forces, and thus a higher boiling point compared to its branched isomers.
Statement II explains the effect of branching on the molecule's shape and boiling point. As branching increases, molecules assume a more spherical shape, which minimizes the surface area available for intermolecular interactions like van der Waals forces. This decrease in surface area weakens these forces, thereby reducing the boiling point. This statement correctly explains the molecular behavior and its impact on boiling point.
Since both statements accurately describe the relationship between molecular structure and boiling point, the correct answer is: Both Statement I and Statement II are correct.
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :