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Which one of the following is a ${{2}^{\circ }}$- allylic carbocation?
(A)- $\overset{\oplus }{\mathop{C{{H}_{2}}}}\,-CH=C{{H}_{2}}$
(B)- $C{{H}_{3}}-CH=CH-\overset{\oplus }{\mathop{C}}\,{{H}_{2}}$
(C)- ${{C}_{6}}{{H}_{5}}-CH=\overset{\oplus }{\mathop{CH}}\,$
(D)- $C{{H}_{3}}-\overset{\oplus }{\mathop{C}}\,H-CH=C{{H}_{2}}$


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Answer
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Hint: The degree of the carbocation is determined by the number of alkyl or aryl groups attached to the positively charged carbon. Also, the allylic carbon adjacent to the double-bonded carbon.

Complete step by step answer:
Firstly, the allylic carbon is the carbon atom adjacent to the double- bonded carbon atom. And the allylic carbocation is formed by the removal of a hydrogen atom from the allylic carbon.
Depending on the number of alkyl or aryl group attached to the allylic carbon of the carbocation, except for the C-C bond with the adjacent double bonded carbon, it can be divided into:
- Primary or ${{1}^{\circ }}$ allylic carbocation having a positive charge over the carbon having only two hydrogens attached to it. So, compound (A) and (B) are primary allylic carbocation.
- Secondary or ${{2}^{\circ }}$ allylic carbocation has positive charge over the carbon having one alkyl or aryl group and one hydrogen attached to it. So, the compound (D) having a positive charge over the secondary carbon is a ${{2}^{\circ }}$ allylic carbocation.
- Tertiary or ${{3}^{\circ }}$ allylic carbocation has positive charge over the carbon with two alkyl or aryl groups attached to it.

Therefore, the a ${{2}^{\circ }}$- allylic carbocation is option (D)- $C{{H}_{3}}-\overset{\oplus }{\mathop{C}}\,H-CH=C{{H}_{2}}$.

Additional information: There is a presence of the empty p-orbital on the $s{{p}^{2}}$ hybridised carbon atom, adjacent to the double-bonded carbon in allylic carbocation. Due to which resonance takes place and causes the stabilisation, as there is an increase in the dispersion of the positive charge over the structure.

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Note: The compound (C) having a positive charge directly over the double-bonded carbon atom, it is a vinylic carbocation. Also, the secondary allylic carbocation has only one alkyl and one hydrogen atom attached to it.