For an infinite line of charge having charge density \( \lambda \) lying along \( x \)-axis, the...
For an infinite line of charge having charge density \( \lambda \) lying along \( x \)-axis, the work required in moving charge from \( \mathrm{C} \) to \( \mathrm{A} \) along arc \( \mathrm{CA} \) is
(a) \( \frac{q \lambda}{\pi \varepsilon_{0}} \log _{e} \sqrt{2} \)
(b) \( \frac{q \lambda}{4 \pi \varepsilon_{0}} \log _{e} \sqrt{2} \)
(c) \( \frac{q \lambda}{4 \pi \varepsilon_{0}} \log _{e} 2 \)
(d) \( \frac{q \lambda}{2 \pi \varepsilon_{0}} \log _{e} \frac{1}{2} \)
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