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A particle oscillates about the equilibrium position x0 subject to a force that has an associated potential energy U(x). Which of the following statements (perhaps more than one) about U(x) is true? (A) U(x) must be symmetric about x0. (B) U(x) must have a minimum at x0. (C) U(x) may have a maximum at x0. (D) U(x) must be positive in the vicinity of x0.

A particle oscillates about the equilibrium position x0 subject
to a force that has an associated potential energy U(x). Which
of the following statements (perhaps more than one) about
U(x) is true?
(A) U(x) must be symmetric about x0.
(B) U(x) must have a minimum at x0.
(C) U(x) may have a maximum at x0.
(D) U(x) must be positive in the vicinity of x0.
 

Grade:12th pass

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