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Q.

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

-4G

b

−83G

c

−43G

d

–G

answer is B.

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Detailed Solution

The resulting gravitational potential at the origin O due to each of mass 2 kg located at positions as shown in figure is

V=G×21−G×22−G×24−G×28−.....

=−2G1+12+14+18+......=−2G11−12

=−2G21=−4G

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