Let's analyze each reaction:
n-Hexane with Mo2O3 at 773K and 10-20 atm: This is catalytic reforming or aromatization. n-Hexane can be converted to benzene under these conditions.
Acetylene (Ethyne) with Red Hot Iron Tube at 873 K: This is a classic method for synthesizing benzene. Three molecules of acetylene undergo cyclic polymerization to form benzene.
Benzenediazonium Ion with Warm Water: Benzenediazonium ion (C6H5N2+) reacts with warm water to form phenol (C6H5OH), not benzene. The diazonium group is replaced by a hydroxyl group.
Benzoate with Sodalime and Heat: This is decarboxylation. The benzoate loses CO2 to form benzene.
Therefore, the reaction that does not produce benzene as a major product is the reaction of benzenediazonium ion with warm water.
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 :