(2013)
Solution:
Total potential $V = -GM \sum \frac{m}{r} = -2G (1 + \frac{1}{2} + \frac{1}{4} + ...) = -2G \times \frac{1}{1 - 0.5} = -4G$.
Infinite number of bodies, each of mass $2 \text{ kg}$ are situated on x-axis at distances $1 \text{ m}$, $2 \text{ m}$, $4 \text{ m}$, $8 \text{ m}$, ..... respectively, from the origin. The resulting gravitational potential due to this system at the origin will be:
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