




The given reaction is a Wolff-Kishner reduction, which is used to reduce carbonyl groups (aldehydes and ketones) to alkanes.
The first step involves the formation of a hydrazone derivative: \[ \text{CH}_3 - \text{CO} - \text{CH}_2 - \text{CH}_3 \xrightarrow{\text{N}_2\text{H}_4} \text{CH}_3 - \text{C}(\text{NHNH}_2) - \text{CH}_2 - \text{CH}_3. \]
In the presence of ethylene glycol and KOH, the hydrazone undergoes decomposition to form: \[ \text{CH}_3 - \text{CH}_2 - \text{CH}_2 - \text{CH}_3. \]
Thus, the product 'A' is butane.
Step 1: Recognize the reagents and the named reaction
The sequence (i) N2H4 then (ii) ethylene glycol / KOH is the classical Wolff–Kishner reduction. This reaction converts a carbonyl group (>C=O of aldehydes/ketones) into a methylene group (–CH2–) under strongly basic, high-temperature conditions.
Step 2: Identify the starting carbonyl compound from the figure
The substrate shown is a simple ketone with two methyl groups on the carbonyl carbon (acetone / propanone): CH3–C(=O)–CH3.
Step 3: Outline the Wolff–Kishner pathway (what happens to the carbonyl)
Stage A: Hydrazone formation The ketone reacts with hydrazine to give the hydrazone: CH3–C(=O)–CH3 + N2H4 ⟶ CH3–C(=NNH2)–CH3 + H2O.
Stage B: Base-promoted elimination (high temperature, ethylene glycol/KOH) Strong base deprotonates the –NH2 group(s); subsequent steps expel N2 gas and water, reducing the carbonyl carbon: … ⟶ CH3–CH2–CH3 + N2↑ + H2O.
Step 4: Predict the product for the given substrate
Replacing the >C=O of acetone by –CH2 converts CH3–C(=O)–CH3 into the fully saturated hydrocarbon CH3–CH2–CH3 (propane).
Step 5: Why Wolff–Kishner suits this case
Step 6: Comparison note (helps avoid common mistakes)
Clemmensen reduction (Zn(Hg)/HCl) also reduces >C=O to –CH2–, but under strongly acidic conditions. Wolff–Kishner is the basic analogue — ideal if the molecule is acid-sensitive.
Final identification of ‘A’
CH3–CH2–CH3 (propane)
In the given reaction sequence, the structure of Y would be:

If the system of equations \[ (\lambda - 1)x + (\lambda - 4)y + \lambda z = 5 \] \[ \lambda x + (\lambda - 1)y + (\lambda - 4)z = 7 \] \[ (\lambda + 1)x + (\lambda + 2)y - (\lambda + 2)z = 9 \] has infinitely many solutions, then \( \lambda^2 + \lambda \) is equal to:
The output of the circuit is low (zero) for:

(A) \( X = 0, Y = 0 \)
(B) \( X = 0, Y = 1 \)
(C) \( X = 1, Y = 0 \)
(D) \( X = 1, Y = 1 \)
Choose the correct answer from the options given below:
The metal ions that have the calculated spin only magnetic moment value of 4.9 B.M. are
A. $ Cr^{2+} $
B. $ Fe^{2+} $
C. $ Fe^{3+} $
D. $ Co^{2+} $
E. $ Mn^{2+} $
Choose the correct answer from the options given below
Which of the following circuits has the same output as that of the given circuit?
