If $pK_a =\, -\,log K_a=4$ for a weak acid $HX$ and $K_a= C\alpha ^2$ then Van't Haff factor when $C = 0.01\,M$ is

  • A

    $1.01$

  • B

    $1.02$

  • C

    $1.10$

  • D

    $0.20$

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  • [AIPMT 1989]