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CMC Medical CMC-Medical VELLORE Solved Paper-2007

  • question_answer
    A long spring, when stretched by a distance x, has potential energy U. On increasing the stretching to rue, the potential energy of the spring will be

    A)  \[\frac{U}{n}\]                                

    B)  \[nU\]

    C)  \[{{n}^{2}}U\]                                  

    D)  \[\frac{U}{{{n}^{2}}}\]

    Correct Answer: C

    Solution :

                     Potential energy of the spring \[U=\frac{1}{2}k\,{{x}^{2}}\] ?(i)              and \[U=\frac{1}{2}k{{(nx)}^{2}}\] \[\Rightarrow \]               \[U={{n}^{2}}\frac{1}{2}k\,{{x}^{2}}\] \[\therefore \]  \[U={{n}^{2}}U\]              [From Eq. (i)]


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