Consider the following carbocations :
I) $C_{6} H_{5} - \overset{\oplus}{C} H_{2}$
II) $C_{6} H_{5} - C H_{2} \overset{\oplus}{C} H_{2}$
III) $C_{6} H_{5} - \overset{\oplus}{C} H - C H_{3}$
IV) $C_{6} H_{5} - \overset{\oplus}{C} {(C H_{3})}_{2}$
The correct sequence of the stabilities is :

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IV > III > I > II

II > I > III > IV

IV > III > II > I

I > II > III > IV

answer is D.

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Detailed Solution

(I) The stability is due to resonance.

(II) The stability is due to only inductive effect.

(III) The stability is due to resonance and +I effect of 1 methyl group.

(IV) The stability is due to both by resonance and +I effect of 2 methyl groups.

So, order of stability of carbocation is IV>III>I>II or II<I<III<IV.

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