નીચેના કાર્બોકેટાયનની સ્થાયીતા નો સાચો ક્રમ શું છે ?

$(i)$ $\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}-CH_2} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,|}
\end{array}} \\
{C{H_3} - {C^ + }} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,|} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}}
\end{array}$

$(ii)$ $\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,|}
\end{array}} \\
{C{H_3} - {C^ + }} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,|} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{H}}
\end{array}$

$(iii)$ $\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,|}
\end{array}} \\
{C{H_3} - {C^ + }} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,|} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}}
\end{array}$

$(iv)$ $Ph - CH ^{+}-\underline{ CH }_{3}$

Question

નીચેના કાર્બોકેટાયનની સ્થાયીતા નો સાચો ક્રમ શું છે ?

$(i)$ $\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}-CH_2} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,|}
\end{array}} \\
{C{H_3} - {C^ + }} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,|} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}}
\end{array}$

$(ii)$ $\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,|}
\end{array}} \\
{C{H_3} - {C^ + }} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,|} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{H}}
\end{array}$

$(iii)$ $\begin{array}{*{20}{c}}
{\begin{array}{*{20}{c}}
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,|}
\end{array}} \\
{C{H_3} - {C^ + }} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,|} \\
{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,C{H_3}}
\end{array}$

$(iv)$ $Ph - CH ^{+}-\underline{ CH }_{3}$

A$i > ii > iii > iv$
B$iv > iii > i > ii$
C$iv > iii > ii > i$
D$iii > iv > ii > i$

AIIMS 2019, Medium

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Solution

b
The stability of carbocation depends upon $+ M$ effect, $+ I$ effect and $+ H$ effect.

Carbocation $(i)$ shows eight hyperconjugation structures.

Carbocation $(ii)$ shows six hyperconjugation structures.

Carbocation $(iii)$ shows nine hyperconjugation structures.

Carbocation $(iv)$ shows $+M$ effect.

Therefore, the correct stability order is : $iv > iii > i > ii$

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