Let’s analyze each reaction:
1. Reaction (1):
This reaction shows the hydrolysis of an acyl chloride (acetyl chloride) to a carboxylic acid (acetic acid). This is a standard reaction. Acyl chlorides readily react with water to form carboxylic acids.
2. Reaction (2):
This reaction depicts the attempted reduction of benzamide to benzoic acid using lithium aluminum hydride (LiAlH4). This is incorrect. LiAlH4 is a strong reducing agent that reduces amides to amines, not carboxylic acids. The correct product would be benzylamine.
3. Reaction (3):
This reaction shows the oxidation of ethanol to acetic acid using alkaline potassium permanganate (KMnO₄), followed by acidification. This is a standard oxidation reaction.
4. Reaction (4):
This reaction shows the oxidation of propanol to propanoic acid using a mixture of chromium trioxide (CrO₃) and sulfuric acid (H₂SO₄). This is also a standard oxidation reaction.
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 :