NEET Sample Paper NEET Sample Test Paper-51

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

    A) \[U/n\]              

    B) \[nU\]

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

    D) \[U/{{n}^{2}}\]

    Correct Answer: C

    Solution :

    \[x'=nx\] \[v=\frac{1}{2}k{{x}^{2}};\,\,\,\,\,\,v=\frac{1}{2}kx'\] \[v'=\frac{1}{2}k\,{{(nx)}^{2}}=\,\,{{n}^{2}}\left( \frac{1}{2}k{{x}^{2}} \right)={{n}^{2}}v;\,\,\,v'={{n}^{2}}v\]


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