Predict the major product of the following reaction sequence: 




The given sequence starts with methylcyclohexane and involves the following reagents:
(1) \( \mathrm{Br_2}/h\nu \)
(2) Alcoholic \( \mathrm{KOH} \)
(3) \( \mathrm{HBr} \) / \( \mathrm{ROOR} \), \( h\nu \)
The reaction proceeds through three distinct stages:
1. Free-radical bromination at the most substituted carbon (tertiary position) under photochemical conditions.
2. β-Elimination (E2) by alcoholic \( \mathrm{KOH} \) to form an alkene (Zaitsev product).
3. Anti-Markovnikov addition of \( \mathrm{HBr} \) in the presence of peroxides (\( \mathrm{ROOR} \)), where bromine adds to the less substituted carbon.
Step 1: Radical bromination.
\[ \text{CH}_3\text{-C}_6\text{H}_{11} \xrightarrow{\mathrm{Br_2},\,h\nu} \text{1-Bromo-1-methylcyclohexane} \]Bromine substitutes the tertiary hydrogen (attached to the carbon bearing the methyl group), forming a tertiary alkyl bromide.
Step 2: Elimination using alcoholic \( \mathrm{KOH} \).
\[ \text{1-Bromo-1-methylcyclohexane} \xrightarrow[\Delta]{\mathrm{alc.\ KOH}} \text{1-Methylcyclohexene} \]Dehydrohalogenation gives the more substituted alkene (Zaitsev product).
Step 3: Radical addition of \( \mathrm{HBr} \) in the presence of peroxide.
\[ \text{1-Methylcyclohexene} \xrightarrow[\mathrm{ROOR},\,h\nu]{\mathrm{HBr}} \text{2-Bromo-1-methylcyclohexane} \]Under peroxide conditions, the addition follows the anti-Markovnikov rule. Bromine attaches to the less substituted carbon of the double bond, forming 2-bromo-1-methylcyclohexane.
The major product is 2-bromo-1-methylcyclohexane.
Correct Option: (2)
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)

Cobalt chloride when dissolved in water forms pink colored complex $X$ which has octahedral geometry. This solution on treating with cone $HCl$ forms deep blue complex, $\underline{Y}$ which has a $\underline{Z}$ geometry $X, Y$ and $Z$, respectively, are


What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)
A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,