Physics-
General
Easy

Question

The force acting on a body moving along x-axis varies with the position of the particle as shown in the fig.

The body is in stable equilibrium at

  1. x equals x subscript 1 end subscript    
  2. x equals x subscript 2 end subscript    
  3. both x subscript 1 end subscript and x subscript 2 end subscript    
  4. neither x subscript 1 end subscript nor x subscript 2 end subscript    

The correct answer is: x equals x subscript 2 end subscript


    When particle moves away from the origin then at position x equals x subscript 1 end subscript force is zero and at x greater than x subscript 1 end subscript comma force is positive (repulsive in nature) so particle moves further and does not return back to original position.
    i.e. the equilibrium is not stable.
    Similarly at position x equals x subscript 2 end subscript force is zero and at x greater than x subscript 2 end subscript comma force is negative (attractive in nature)
    So particle return back to original position i.e. the equilibrium is stable

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