question_answer

      A particle oscillates in one dimension about the equilibrium position subject to a force \[{{F}_{xx}}(x)\] that has an associated potential energy U(x). If k is the force constant, which one of the following relations is true?                              [NDA]

A) \[{{F}_{x}}(x)=k{{x}^{2}}\]  

B)      \[{{F}_{x}}(x)=kx\]

C) \[U(x)=\frac{1}{2}kx\]    

D)      \[U(x)=\frac{1}{2}{{k}^{2}}x\]