List-I | List-II | ||
(A) | ![]() | (I) | ![]() |
(B) | ![]() | (II) | CrO3 |
(C) | ![]() | (III) | KMnO4/KOH, \(\Delta\) |
(D) | ![]() | (IV) | (i) O3 (ii) Zn-H2O |
Let's analyze each reaction in List-I and match it with the appropriate reagents/conditions in List-II.
(A) Conversion of cyclohexene to cyclohexanone:
This involves the oxidation of cyclohexene to form cyclohexanone. A common method for such conversions is ozonolysis followed by a reductive workup (using $ \text{Zn} $ and $ \text{H}_2\text{O} $). Ozonolysis cleaves the double bond, and under reductive conditions, it can form aldehydes or ketones depending on the structure. For cyclohexene, this process yields cyclohexanone. Reagent (IV) corresponds to this description ($ \text{O}_3 $ followed by $ \text{Zn}-\text{H}_2\text{O} $).
So, (A) matches with (IV).
(B) Conversion of benzene to benzophenone:
This involves the introduction of a benzoyl group ($ \text{C}_6\text{H}_5\text{CO}- $) to benzene, which is a Friedel-Crafts acylation reaction. The typical reagents for this reaction are an acyl halide (e.g., benzoyl chloride, $ \text{C}_6\text{H}_5\text{COCl} $) and a Lewis acid catalyst (e.g., anhydrous $ \text{AlCl}_3 $). Reagent (I) matches this description.
So, (B) matches with (I).
(C) Conversion of cyclohexanol to cyclohexanone:
This is a straightforward oxidation of a secondary alcohol to a ketone. Common oxidizing agents for this transformation include $ \text{CrO}_3 $ (chromium trioxide). Reagent (II) matches this description.
So, (C) matches with (II).
(D) Conversion of ethylbenzene to potassium benzoate:
This involves the oxidation of the alkyl side chain of benzene. When alkylbenzenes are treated with strong oxidizing agents like alkaline potassium permanganate ($ \text{KMnO}_4/\text{KOH} $) under heating ($ \Delta $), the alkyl group is oxidized to a carboxylate salt. Reagent (III) matches this description.
So, (D) matches with (III).
Final Matches:
(A) - (IV)
(B) - (I)
(C) - (II)
(D) - (III)
Final Answer:
The final answer is: $ \boxed{\text{A-IV, B-I, C-II, D-III}} $
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 :