JIPMER Jipmer Medical Solved Paper-2001

  • question_answer
    A transverse wave is represented by the equation\[y={{y}_{0}}\sin \,\frac{2\pi }{\lambda }(\upsilon t-x)\] For what value of \[\lambda \] is the particle velocity equal to two times the wave velocity:

    A)  \[\lambda =\pi {{y}_{0}}\]                          

    B)  \[\lambda =\frac{\pi {{y}_{0}}}{2}\]       

    C)  \[\lambda =\frac{\pi {{y}_{0}}}{2}\]       

    D)         \[\lambda =2pi{{y}_{0}}\]

    Correct Answer: A

    Solution :

    Comparing the given equation to the standard equation of wave \[\omega {{y}_{0}}=2v\] \[2\pi n{{y}_{0}}=2n\lambda ,\]      hence\[\lambda =\pi {{y}_{0}}\]


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