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Infinite number of bodies, each of mass 2 kg are situated on x-axis at distances 1m, 2m, 4m, 8m, ..... respectively, from the origin. The resulting gravitational potential due to this system at the origin will be
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- 8 G 3 -
- 4 G 3 - - 4 G
- - G
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Correct Option: C
| Gravitational potential V = | ||
| r |
| V0 = - | - | - | - | |||||
| 1 | 2 | 4 | 8 |
| = -2G |  | 1 + | + | + | + | + .......∞ |  | ||||
| 1 | 2 | 4 | 8 |
| = -2G × | = -2G × | = -4 G | |||||||||
| 1 - | |||||||||||
| 2 | 2 | ||||||||||
