Home Physics Work, Energy, Power and Collision Mix U(x) − − x curve of one-dimensional conserva…
Physics Work, Energy, Power and Collision Mix MCQ (Single Correct)

U(x) − − x curve of one-dimensional conservative force is shown. Three points A, B and C are marked on the curve. The correct pairing of the points with the type of equilibrium they show on the curve is:

A
A → → Unstable, B → → Stable, C → → Neutral
B
A → → No equilibrium, B → → Unstable, C → → Stable
C
A → → Neutral, B → → Unstable, C → → Stable
D
A → → Neutral, B → → Stable, C → → Unstable

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The correct answer is:
B

At A, ≠ ≠ 0 hence F ≠ ≠ 0 thus showing no equilibrium. At B, if particle is displaced along positive direction, slope become negative and F becomes positive indicating unstable equilibrium. At C, conditions are reverse that of at B i.e., unstable equilibrium.

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