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

W.
(A) \( Q=4 \sigma \pi r_{0}^{2} \)
(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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