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JEE Main & Advanced Sample Paper JEE Main Sample Paper-27

  • question_answer
    Ab all A moving with kinetic energy E, makes a head on elastic collision with a stationary ball of mass n times that of A .The maximum potential energy due to deformation stored in the system during the collision is:

    A)  \[nE/(n+1)\]                 

    B)  \[(n+1)E/n\]

    C)  E                    

    D)  \[E/n\]

    Correct Answer: A

    Solution :

    Maximum elastic potential energy\[=\frac{1}{2}\,\mu U_{res}^{2}\] \[=\frac{1}{2}\,\frac{{{m}_{1}}{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}}\,{{({{U}_{1}}-{{U}_{2}})}^{2}}=\frac{1}{2}\,\frac{m\,nm}{m+nm}\,{{(U-0)}^{2}}\] \[=\frac{1}{2}\,m{{U}^{2}}\left( \frac{n}{1+n} \right)=\frac{En}{1+n}\]


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