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Which of the following alcohol shows the fastest reaction with ${{H}^{+}}$ ?
Options-
(A)
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(B)
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(C)
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(D)
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Answer
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Hint: Protonate the alcohol functional group in each of the compounds. Now determine the position of carbocation formed. Identify the groups attached with the carbocation. Now understand the stabilizing factors for carbocation and determine the most stable carbocation formed. The reactivity rate is directly proportional to stability of carbocation. Thus, based on this you can determine the correct option and answer the question.

Complete answer:
We will protonate the hydroxide groups and then form carbocation for the compounds given in options as suggested in the hint.
(A)
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In the reaction above we see that the carbocation is formed on the carbon atom in the cyclopropyl ring. This is relatively unstable.
(B)
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The carbocation formed in the above structure is considered to be exceptionally stable. This is due to dancing resonance observed only in cyclopropyl carbocation. Dancing resonance is a special stability mechanism that is known to increase the stability of carbocations attached directly to three membered carbon rings.
(C)
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The carbocation formed is stabilised by resonance. It is an allylic carbocation.
(D)
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The carbocation formed is stabilised by resonance. It is a benzylic carbocation.
Based on the above statements we can conclude that the alcohol that shows fastest reaction with ${{H}^{+}}$ is,
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Therefore, the correct answer is option (B).

Note:
It is important to know that dancing resonance is given priority over other forms of resonance. However, this rule is applicable only in case of determining stability of carbocation.