Manipal Medical Manipal Medical Solved Paper-2008

  • question_answer
    A particle is executing SHM. Then, the graph of velocity as a function of displacement is a/an

    A)  straight line     

    B)  circle

    C)  ellipse          

    D)  hyperbola

    Correct Answer: C

    Solution :

     From the relation, \[{{v}^{2}}={{\omega }^{2}}({{a}^{2}}-{{x}^{2}})\] \[\Rightarrow \] \[{{v}^{2}}+{{\omega }^{2}}{{x}^{2}}={{\omega }^{2}}{{a}^{2}}\]\[\Rightarrow \] \[\frac{{{v}^{2}}}{{{a}^{2}}{{\omega }^{2}}}+\frac{{{x}^{2}}}{{{a}^{2}}}=1\] which is the equation of an ellipse.


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