JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Oscillations

  • question_answer
    A graph of the square of the velocity against the square of the acceleration of a given simple harmonic motion is   

    A)  

    B)

    C)  

    D)

    Correct Answer: D

    Solution :

    [d] \[{{v}^{2}}={{\omega }^{2}}({{A}^{2}}-{{x}^{2}})\]       ...(i) and  \[{{a}^{2}}=({{\omega }^{2}}{{x}^{2}}){{\omega }^{4}}{{x}^{2}}\]     ...(ii) From above equations, we have \[{{v}^{2}}=-\frac{{{a}^{2}}}{{{\omega }^{2}}}+{{\omega }^{2}}{{A}^{2}}\Rightarrow y=mx+c\] It represents straight line with negative slope.


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