A parallel plate capacitor of capacitance $5\,\mu F$ and plate separation $6\, cm$ is connected to a $1\, V$ battery and charged. A dielectric of dielectric constant $4$ and thickness $4\, cm$ is introduced between the plates of the capacitor. The additional charge that flows into the capacitor from the battery is........$\mu C$

  • A

    $2$

  • B

    $3$

  • C

    $5$

  • D

    $10$

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  • [JEE MAIN 2021]

Write the capacitance of parallel plate capacitor with medium of dielectric of dielectric constant $\mathrm{K}$.