Let E₁(r), E₂(r) and E₃(r) be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density λ, and an infinite plane with uniform surface charge density σ. If E₁(r₀) = E₂(r₀) = E₃(r₀) at a given distance r₀, then :-

Options

• Option A

  $Q=4\sigma\pi r_{\omicron^{}}^2$

• Option B

  $r_{\omicron}=\frac{\lambda}{2\pi\sigma}$

• Option C

  $E_1\left(\frac{r_{\omicron}}{2}\right)=2E_2\left(\frac{r_{\omicron}}{2}\right)$

• Option D

  $E_2\left(\frac{r_{\omicron}}{2}\right)=4E_3\left(\frac{r_{\omicron}}{2}\right)$