In a plane $EM$ wave, the electric field oscillates sinusoidally at a frequency of $5 \times 10^{10} \mathrm{~Hz}$ and an amplitude of $50 \mathrm{Vm}^{-1}$. The total average energy density of the electromagnetic field of the wave is :

[Use $\varepsilon_0=8.85 \times 10^{-12} \mathrm{C}^2 / \mathrm{Nm}^2$ ]

  • [JEE MAIN 2024]
  • A

    $1.106 \times 10^{-8} \mathrm{Jm}^{-3}$

  • B

    $4.425 \times 10^{-8} \mathrm{Jm}^{-3}$

  • C

    $2.212 \times 10^{-8} \mathrm{Jm}^{-3}$

  • D

    $2.212 \times 10^{-10} \mathrm{Jm}^{-3}$

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