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Let \( E_{1}(r), E_{2}(r) \) and \( E_{3}(r) \) be the respective electric fields at a distance \( r \) from a point charge \( Q \), an infinitely long wire with constant linear charge density \( \lambda \), and an infinite plane with uniform surface charge
\( \mathrm{P} \) density \( \sigma \). If \( E_{1}\left(r_{0}\right)=E_{2}\left(r_{0}\right)=E_{3}\left(r_{0}\right) \) at a given distance \( r_{0} \), then

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(A) \( \mathrm{Q}=4 \sigma \pi \mathrm{r}_{0}^{2} \)
(B) \( \mathrm{r}_{0}=\frac{\lambda}{2 \pi \sigma} \)
(C) \( \mathrm{E}_{1}\left(\mathrm{r}_{0} / 2\right)=2 \mathrm{E}_{2}\left(\mathrm{r}_{0} / 2\right) \)
(D) \( \mathrm{E}_{2}\left(\mathrm{r}_{0} / 2\right)=4 \mathrm{E}_{3}\left(\mathrm{r}_{0} / 2\right) \)
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