1.

      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.      \[U(x)=\frac{1}{2}{{k}^{2}}x\]
Answer» C. \[U(x)=\frac{1}{2}kx\]    


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