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In the figure shown the potential energy U of a particle is plotted against its position x  from origin. Then which of the following statement is incorrect.



  • a)
    x3 is in stable equilibrium 

  • b)
    x2 is in unstable equilibrium 

  • c)
    x1 is in stable equilibrium 

  • d)
    x2 is in stable equilibrium 

Correct answer is option 'A,C,D'. Can you explain this answer?
Verified Answer
In the figure shown the potential energyUof a particle is plotted agai...
x - x1   and  x = x3  are not equilibrium positions because   at these points. x = x2 is unstable, as U is maximum at this point.
The correct answers are: x1 is in stable equilibrium, x3 is in stable equilibrium, x2 is in unstable equilibrium
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Most Upvoted Answer
In the figure shown the potential energyUof a particle is plotted agai...
x = x1 and x = x3 are not equilibrium positions because du/dx ≠  0 at these points.  x = x2 is unstable, as U is maximum at this point.
 
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In the figure shown the potential energyUof a particle is plotted against its positionxfrom origin. Then which of the following statement is incorrect.a)x3is in stable equilibriumb)x2is in unstable equilibriumc)x1is in stable equilibriumd)x2is in stable equilibriumCorrect answer is option 'A,C,D'. Can you explain this answer?
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