
The reaction of cyclohexane with potassium permanganate (\(\text{KMnO}_4\)) in an acidic medium (\(\text{H}_2\text{SO}_4\)) and heat results in the oxidation of cyclohexane to adipic acid.
Step 1: Oxidation of cyclohexane
Cyclohexane (\(\text{C}_6\text{H}_{12}\)) undergoes oxidation in the presence of \(\text{KMnO}_4\) and \(\text{H}_2\text{SO}_4\).
- The \(\text{KMnO}_4\) oxidizes the \(-\text{CH}_2-\) groups in cyclohexane to carboxylic acid (\(-\text{COOH}\)) groups.
- This results in the formation of adipic acid (\(\text{HOOC} - (\text{CH}_2)_4 - \text{COOH}\)).
\[\text{C}_6\text{H}_{12} \rightarrow [\text{KMnO}_4, \text{H}_2\text{SO}_4, \text{Heat}] \text{HOOC} - (\text{CH}_2)_4 - \text{COOH} \, (\text{Adipic Acid})\]
Step 2: Conclusion
The product \(A\) is adipic acid.
Final Answer: (4).
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?
