Haryana PMT Haryana PMT Solved Paper-2006

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

    A)                  \[f\]                                     

    B)  \[f/2\]

    C)                  \[2f\]                                   

    D)  zero

    Correct Answer: C

    Solution :

                    If  \[x=A\,\sin \,\,\omega t\] 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            \[2\pi f=2\times 2\pi f\]                 \[f=2f\]


You need to login to perform this action.
You will be redirected in 3 sec spinner