CMC Medical CMC-Medical VELLORE Solved Paper-2007

  • question_answer
    If the maximum velocity and acceleration particle executing SHM are equal in magnitude the time period will be

    A)  1.57 s                                   

    B)  3.14 s

    C)  6.28 s                                   

    D)  12.56 s

    Correct Answer: C

    Solution :

                     According to question          \[\left| {{v}_{\max }} \right|=\left| {{a}_{\max }} \right|\] i.e.,\[\omega a={{\omega }^{2}}a\] \[\Rightarrow \]               \[\omega =1=\frac{2\pi }{T}\] \[\therefore \]  \[T=2\pi \]           \[\Rightarrow \]               \[T=2\times 3.14\] \[\Rightarrow \]               \[T=6.28\,s\]


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