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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 be

A

`-G`

B

`-8/3G`

C

`-4/3G`

D

`-4G`

Text Solution

Verified by Experts

The correct Answer is:
D
`v=-2g[1+1/2+1/4+ ------]`
`=-2Gxx1/(1-1/2)=-4G`
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