Identify products $A$ and $B$ in the following reaction sequence:
$1$-methylcyclopentene $\xrightarrow{\text{dil. } KMnO_4, 273 \ K} A$ $\xrightarrow{CrO_3} B$

  • A
    $A: \text{1-methylcyclopentane-1,2-diol}, B: \text{2-hydroxy-2-methylcyclopentanone}$
  • B
    $A: \text{1-methylcyclopentane-1,2-diol}, B: \text{2-methylcyclopentanone}$
  • C
    $A: \text{2-methylcyclopentanol}, B: \text{2-methylcyclopentanone}$
  • D
    $A: \text{1-methylcyclopentene oxide}, B: \text{2-methylcyclopentanone}$

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