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A charge \( +q \) is fixed at each of the points \( x=x_{0}, x=3 x_{0}, x=5 x_{0} \ldots . \) infinite, on the \( x \)-axis and a charge \( -q \) is fixed at each of the points \( x=2 x_{0}, x=4 x_{0}, x=6 x_{0}, \ldots . \) infinite. Here \( x_{0} \) is a positive constant. Take the electric potential at a point due to a charge \( Q \) at a distance \( r \) from it to be \( Q /\left(4 \pi \varepsilon_{0} r\right) \).
Then, the potential at the origin due to the above system of charges is
(a) 0
(b) \( \frac{q}{8 \pi \varepsilon_{0} x_{0} \ln 2} \)
(c) \( \infty \)
(d) \( \frac{q \ln 2}{4 \pi \varepsilon_{0} x_{0}} \)
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