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A charge \( +q \) is fixed at each of the points \( x=x_{0} \), \( x=3 x_{0}, x=5 x_{0} \ldots \ldots \infty \) on the \( \mathrm{X} \)-axis and a charge \( -q \) is fixed at each of the points \( x=2 x_{0} \), \( x=4 x_{0}, x=6 x_{0} \ldots \) to \( \infty \). Here \( x_{0} \) is a positive constant. Take the electric potential at a point due to charge \( Q \) at a distance \( r \) from it to be \( \frac{1}{4 \pi \epsilon_{0}} \frac{Q}{r} \).
Then the potential at the origin due to above - system of charges is :
(a) 0
(b) \( \infty \)
(c) \( \frac{q}{4 \pi \epsilon_{0} x_{0} \ln 2} \)
(d) \( \frac{q \ln 2}{4 \pi \in_{0} x_{0}} \)
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