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Infinite number of masses, each of mass $m,$ are placed along a straight line at distance of $r, 2 r, 4 r, 8 r,$ etc. from a reference point $O$ .The magnitude of the gravitational potential at point $O$ will be

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Correct option is D

The gravitational potential, in magnitude, at point O is V=Gm[1r+12r+14r+18r+....] =Gmr[1+12+14+18+....] =Gmr[120+121+122+123+....] =Gmr(11−12)=2Gmr

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Infinite number of masses, each of mass m, are placed along a straight line at distance of r,2r,4r,8r, etc. from a reference point O .The magnitude of the gravitational potential at point O will be

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Infinite number of masses, each of mass $m,$ are placed along a straight line at distance of $r, 2 r, 4 r, 8 r,$ etc. from a reference point $O$ .The magnitude of the gravitational potential at point $O$ will be