RAJASTHAN ­ PET Rajasthan PET Solved Paper-2006

  • question_answer
    When the displacement is half the amplitude in SHM, then ratio of kinetic energy to the total energy is

    A)  3/4               

    B)  zero

    C)  1/2                

    D)  1/4

    Correct Answer: A

    Solution :

     The total energy in SHM\[=\frac{1}{2}m{{\omega }^{2}}{{A}^{2}}\] The kinetic energy\[=\frac{1}{2}m{{\omega }^{2}}({{A}^{2}}-{{x}^{2}})\] Given:   \[x=\frac{A}{2}\] \[\therefore \] \[KE=\frac{1}{2}m{{\omega }^{2}}\left( {{A}^{2}}-\frac{{{A}^{2}}}{4} \right)\] \[KE=\frac{3}{4}\]total energy


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