CMC Medical CMC-Medical VELLORE Solved Paper-2007

  • 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.


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