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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
P with constant linear charge density \( \lambda \), and an infinite plane

W with uniform surface charge 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
(2014 Adv.)
(a) \( Q=4 \sigma \pi r_{0}^{2} \)
(b) \( r_{0}=\frac{\lambda}{2 \pi \sigma} \)
(c) \( E_{1}\left(r_{0} / 2\right)=2 E_{2}\left(r_{0} / 2\right) \)
(d) \( E_{2}\left(r_{0} / 2\right)=4 E_{3}\left(r_{0} / 2\right) \)
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