Infinite number of masses each of 3   kg are placed along a straight line at the distances of 1  …

Infinite number of masses each of 3 kg are placed along a straight line at the distances of 1 m, 2 m,4 m,8 m,…… from a point 0 on the same line. If G is the universal gravitational constant, then the magnitude of gravitational field intensity at 0 is
  1. 1.0 G
  2. 2.0G
  3. 3.0G
  4. 4.0G

Solution

Gravitational field, ∑F=∑Gmr2

⇒∑F=3G∑1r2

⇒∑F=3G112+122+142+.........

⇒∑F=3G11-14

⇒∑F=3G134

⇒∑F=3G43

⇒∑F=4 G

Asked in: AP EAMCET 2021 (19 Aug Shift 2)

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