Hydrolysis of 2-bromo-3-methyl butane `(2^@)` yields only 2-methy-2-butanol `(3^@)`, explain.

Explanation

During `S_(N)1` reaction, the ionization gives `2^(@)` carbo- cation which rearranges by a hydride shift to a more stable `3^(@)`-carbocation to form `3^(@)`-alcohol as :
`underset(underset((3^(@)-"Carbocation"))("2-Bromo-3-methylbutane"))(CH_(3)-underset(Br)underset(|)CH-overset(CH_(3))overset(|)CH-CH_(3)) underset("slow")overset(-Br^(-))to CH_(3)-overset(+)(CH)-underset(H)underset(|)overset(CH_(3))overset(|)C-CH_(3) to CH_(3)-underset(H)underset(|)CH-underset(+)overset(CH_(3))overset(|)C-CH_(3) underset(-H^(+))overset(+H_(2)O "fast")to underset(underset((2^(@) "-Carbocation"))("2-Methyl-2-butanol"))(CH_(3)-CH_(2)-underset(OH)underset(|)overset(CH_(3))overset(|)C-CH_(3)`