JEE Main · PhysicsHard

Three particles of mass are placed at the vertices of an equilateral triangle of side length . A fourth particle of mass is placed at the centroid of the triangle. What is the gravitational potential energy of the system?

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: C

Solution

The total potential energy . . The distance from the centroid to each vertex is . Thus, . Summing these gives .

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