1.

Infinite number of bodies, each of mass `2kg`, are situated on `x`-axis at distance `1m,2m,4m,8m.........` respectively, from the origin. The resulting gravitational potential the to this system at the origing will beA. `-G`B. `-8/3G`C. `-4/3G`D. `-4G`

Answer» Correct Answer - D
`V=-2G[1/1+1/2+1/4+1/8........]`
`=-2G[1+1/2+1/(2^(2))+1/(2^(3)).......]`
`=-2G1/((1-1/2))=-4G`


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