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JEE Main & Advanced Physics Wave Mechanics Question Bank Stationary Waves

  • question_answer
    Two travelling waves \[{{y}_{1}}=A\sin [k(x-c\,t)]\] and \[{{y}_{2}}=A\sin [k(x+c\,t)]\] are superimposed on string. The distance between adjacent nodes is                          [IIT 1992]

    A)            \[c\,t/\pi \]                           

    B)            \[c\,t/2\pi \]

    C)            \[\pi /2k\]                             

    D)            \[\pi /k\]

    Correct Answer: D

    Solution :

                         The distance between adjacent nodes \[x=\frac{\lambda }{2}\] Also \[k=\frac{2\pi }{\lambda }.\] Hence \[x=\frac{\pi }{k}.\]


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