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Question

The correct order of stability of given carbocations is:
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A
I>IV>III>II
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B
I>IV>II>III
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C
IV>I>III>II
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D
IV>I>II>III
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Solution

The correct option is B I>IV>II>III
The stability order is explained on the basis of Meromeric effect, Inductive effect and Hyperconjugation.
In these effects, we have to follow following order for stabler.
MeromericEffect>Hyperconjugation>InductiveEffect.
OCH3 is +M group.
The cation which is in resonance with OCH3 is more stable.
So (I) and (IV) are more stable than (II) and (III).
Between (I) and (IV), I is more stable because of Inductive effect as carbon atoms are more in I.
Between (II) and (III), II is more stable because of 9 hyper conjugative structure of II than 4 hyper conjugative structure of III.
So stability order is I>IV>II>III

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