On heating with dilute H2SO4, pinacol gives pinacolone, which is

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On heating with dilute $H X_{2} SO X_{4}$ , pinacol gives pinacolone, which is

Loss of water gives

(CH X_{3}) X_{2} C X^{+} - C (OH) (CH X_{3}) X_{2}

, then a methyl shift gives a protonated ketone. Loss of

H X^{+}

gives

CH X_{3} - CO - C (CH X_{3}) X_{3}

, which is 3,3-dimethylbutan-2-one (pinacolone).