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Infinite number of bodies, each of mass 2 kg are situated on x-axis at distances 1 m, 2 m, 4 m, 8 m, ..., respectively, from the origin. The resulting gravitational potential due to this system at the origin will be

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a
−43G
b
-4G
c
–G
d
−83G

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detailed solution

Correct option is B

The resulting gravitational potential at the origin O due to each of mass 2 kg located at positions as shown in figure isV=G×21−G×22−G×24−G×28−.....=−2G1+12+14+18+......=−2G11−12=−2G21=−4G

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