A) \[[M{{L}^{2}}\,\,{{T}^{-1}}{{Q}^{-2}}]\]
B) \[\left[ \text{LT}{{\text{Q}}^{-\text{1}}} \right]\]
C) \[{{O}_{1}}\]
D) \[{{O}_{2}}\]
Correct Answer: D
Solution :
\[C{{H}_{3}}-C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,-\underset{\begin{smallmatrix} | \\ OH \end{smallmatrix}}{\mathop{CH}}\,-CH-C{{H}_{3}}\xrightarrow{{{H}^{+}}}\] \[C{{H}_{3}}C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,-\underset{\begin{smallmatrix} | \\ +\,\,OH \end{smallmatrix}}{\mathop{CH}}\,-C{{H}_{3}}\xrightarrow[-{{H}_{2}}O]{Slow\,\,step}\] \[C{{H}_{3}}C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ \underset{\begin{smallmatrix} {{2}^{\circ }}\,carbocation \\ (less\,stable) \end{smallmatrix}}{\mathop{C{{H}_{3}}}}\, \end{smallmatrix}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,-\underset{{}}{\mathop{\overset{+}{\mathop{C}}\,H}}\,-C{{H}_{3}}\] \[\xrightarrow{1-2\,methyl\,shift}C{{H}_{3}}C{{H}_{2}}-\underset{+}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,-\underset{\begin{align} & | \\ & C{{H}_{3}} \\ & {{3}^{\circ }}\,carbocation \\ & (more\,stable) \\ \end{align}}{\mathop{\overset{{}}{\mathop{C}}\,H}}\,-C{{H}_{3}}\] \[\xrightarrow[-{{H}^{+}}]{}C{{H}_{3}}.C{{H}_{2}}-\underset{{}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,=\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{\overset{{}}{\mathop{C}}\,H}}\,-C{{H}_{3}}\] \[+C{{H}_{3}}C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ \underset{(\min or)}{\mathop{C{{H}_{3}}}}\, \end{smallmatrix}}{\overset{\begin{smallmatrix} \overset{(major)}{\mathop{C{{H}_{3}}}}\, \\ | \end{smallmatrix}}{\mathop{C}}}\,=\underset{{}}{\mathop{\overset{{}}{\mathop{C}}\,H=}}\,C{{H}_{2}}\] When the formation of an alkene is accompanied by 1, 2-shift, the reaction is called as retropinacol rearrangement. This rearrangement takes place it into an open chain compound and termed as Wagner rearrangement.
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