Consider the following carbocations
I `overset(+)underset((CH_(3))_(3)C CH_(2)`
II `(CH_(3))_(3)C^(+)`
III `{:(" " +),(CH_(3)CH_(2)CH_(2)):}`
IV `{:(" " +),(CH_(3)-CH-CH_(3)):}`
The correct order for the stability of the above carbocations is

Options

A. `IV lt III lt II lt I`
B. `III lt IV lt I lt II`
C. `I lt III lt IV lt II`
D. `II lt IV lt III lt I`

Answer

C

Explanation

`(CH_(3))_(3)overset(+)(C)` (II) is stabilized by nine, `CH_(3)overset(+)(C)HCH_(3)(IV)` is stabilized by six, `CH_(3)CH_(2)CH_(2)^(+)` (III) is stabilized by two while `(CH_(3))_(3)C CH_(2)^(+)` (I) has no hyperconjugation structure. Therefore, II is the most stable, followed IV, then by III while I is the least stable. Thus, option (c) is correct.