A capacitor $C$ is first charged fully with potential difference of $V_{0}$ and disconnected from the battery. The charged capacitor is connected across an inductor having inductance $L$. In time $t$, $25 \%$ of the initial energy in the capacitor is transferred to the inductor. The value of $t$ is

  • A
    $\frac{\pi \sqrt{LC}}{3}$
  • B
    $\frac{\pi \sqrt{LC}}{6}$
  • C
    $\frac{\pi \sqrt{LC}}{2}$
  • D
    $\pi \sqrt{\frac{LC}{2}}$

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