An infinite number of point charges, each carrying 1 μ C charge, are placed along the y -axis at y=1 m, 2 m, 4 m, 8 m …. The total force on a 1 C…

An infinite number of point charges, each carrying $\displaystyle 1 \mu \mathrm{C}$ charge, are placed along the $\displaystyle y$-axis at $\displaystyle y=1 \mathrm{~m}$, $\displaystyle 2$ m, $\displaystyle 4$ m, $\displaystyle 8$ m $\displaystyle \ldots$ .The total force on a $\displaystyle 1$ C point charge, placed at the origin, is $\displaystyle x \times 10^3 \mathrm{~N}$. The value of $\displaystyle x$, to the nearest integer, is \_\_\_\_. [Take $\displaystyle \frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{Nm}^2 / \mathrm{C}^2$ ]