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A semi-infinite insulating rod has linear charge density \( \lambda \). The electric field at the point \( P \) shown in figure is :-
\( \mathrm{P} \)
(A) \( \frac{2 \lambda^{2}}{\left(4 \pi \varepsilon_{0} r\right)^{2}} \) at \( 45^{\circ} \) with \( \mathrm{AB} \)
(B) \( \frac{\sqrt{2} \lambda}{4 \pi \varepsilon_{0} r^{2}} \) at \( 45^{\circ} \) with \( \mathrm{AB} \)
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(C) \( \frac{\sqrt{2} \lambda}{4 \pi \varepsilon_{0} r} \) at \( 45^{\circ} \) with \( \mathrm{AB} \)
(D) \( \frac{\sqrt{2} \lambda}{4 \pi \varepsilon_{0} r} \) at perpendicular to \( \mathrm{AB} \)
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