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Problem/CM-01001; Periodic Motion

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Question : {A particle moves in a force field given by the potential $V(x) = A |x|^n $  Find the time period as function of energy. 

Answer: { $\displaystyle {2\over n}\sqrt{2m\pi\over E} {\left(E\over A\right)^{1/n}{\Gamma(1/n)\over \Gamma({n+2\over 2n})}}$}

 

cm-que-01001

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