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  4. In the diagram shown the potential energy U of a particle is plotted against its position x from the origin. Then which of the following statement is correct. A particle at <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-srupdxzir5ds.png />

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Q. In the diagram shown the potential energy $U$ of a particle is plotted against its position $x$ from the origin. Then which of the following statement is correct. A particle at

Question

NTA AbhyasNTA Abhyas 2020Work, Energy and Power

Solution:

x = x1 and x = x3 are not equilibrium positions because $\frac{\text{dU}}{\text{dx}} ≠ 0$ at these points.
x = x2 is unstable, as U is maximum at this point.