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Grade 12General Physics

An infinite number of identical point mass(m) are placed on x axis at x= 0,1,2,4,8....metre respectively.The total gravitational potential at x=0 is
  1. - Gm
  2. -2 Gm
  3. 2Gm
  4. Infinite

Profile image of Shikha Chatterjee
10 Years agoGrade 12
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1 Answer

Profile image of Vikas TU
10 Years ago
total gravitational potential at x=0 is:
Gm/1 + Gm/2 + Gm/4 + ------------- + ininity
=> Gm(1 + ½ + ¼ + 1/8 +--------)
=> Gm (1/(1 – 0.5))
=> 2Gm + infinite
 
=> infinite