JEE Main & Advanced Physics Simple Harmonic Motion Question Bank Graphical Questions

  • question_answer
    Graph between velocity and displacement of a particle, executing S.H.M. is                                        [DPMT 2005]

    A)            A straight line                      

    B)            A parabola

    C)            A hyperbola                         

    D)            An ellipse

    Correct Answer: D

    Solution :

                       In simple harmonic motion                    \[y=a\sin \omega t\]and \[v=a\omega \cos \omega t\] from this we have            \[\frac{{{y}^{2}}}{{{a}^{2}}}+\frac{{{v}^{2}}}{{{a}^{2}}{{\omega }^{2}}}=1\], which is a equation of ellipse.


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