Effective capacitance of parallel combination of two capacitors $\mathrm{C}_{1}$ and $\mathrm{C}_{2}$ is $10\; \mu \mathrm{F}$. When these capacitors are individually connected to a voltage source of $1\; \mathrm{V},$ the energy stored in the capacitor $\mathrm{C}_{2}$ is $4$ times that of $\mathrm{C}_{1}$. If these capacitors are connected in series, their effective capacitance will be

  • [JEE MAIN 2020]
  • A

    $3.2\; \mu \mathrm{F}$

  • B

    $8.4\; \mu \mathrm{F}$

  • C

    $1.6\; \mu \mathrm{F}$

  • D

    $4.2\; \mu \mathrm{F}$

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  • [JEE MAIN 2020]