Manipal Medical Manipal Medical Solved Paper-2005

  • question_answer
    A particle executes simple harmonic motion with a frequency/. The frequency with which the potential energy oscillates is:

    A)  \[f\]

    B)  \[f/2\]

    C)  \[2f\]

    D)  0

    Correct Answer: C

    Solution :

     If \[x=A\text{ }sin\text{ }\omega t\] Then, \[PE=\frac{1}{2}m{{A}^{2}}{{\omega }^{2}}{{\sin }^{2}}\omega t\] \[\therefore \] \[PE=\frac{1}{2}m{{A}^{2}}{{\omega }^{2}}\left( \frac{1-\cos 2\omega t}{2} \right)\] \[\therefore \] \[\omega =2\omega \] Or \[2\pi f=2\times 2\pi f\] \[f=2f\]


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