JCECE Engineering JCECE Engineering Solved Paper-2004

  • question_answer
    The period of SHM of a particle is 12 s. The phase difference between the positions at\[t=3\,\,s\]and\[t=4\,\,s\]will be:

    A) \[\pi /4\]                                             

    B) \[3\pi /5\]

    C) \[\pi /6\]                                             

    D) \[\pi /2\]

    Correct Answer: C

    Solution :

    The phase of particle at \[t=3\,\,s\] is                 \[{{\phi }_{1}}=\omega t=\left( \frac{2\pi }{T} \right)t\]                 \[=\frac{2\pi \times 3}{12}=\frac{\pi }{2}\] At\[t=4\,\,s\]                 \[{{\phi }_{2}}=\omega t=\left( \frac{2\pi }{T} \right)t\]                 \[=\frac{2\pi \times 4}{12}=\frac{2\pi }{3}\] Phase difference \[\Delta \phi ={{\phi }_{2}}-{{\phi }_{1}}=\frac{2\pi }{3}-\frac{\pi }{2}=\frac{\pi }{6}\]


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