The plates of a parallel plate capacitor are charged up to $100\, volt$ . A $2\, mm$ thick plate is inserted between the plates, then to maintain the same potential difference, the distance between the capacitor plates is increased by $1.6\, mm$ . The dielectric constant of the plate is

  • A

    $5$

  • B

    $1.25$

  • C

    $4$

  • D

    $2.5$

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