NEET AIPMT SOLVED PAPER SCREENING 2010

  • question_answer
    A transverse wave is represented by \[y=A\sin \]\[(\omega t-kx).\] For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

    A) \[\pi A/2\]          

    B)        \[\pi A\]

    C) \[2\pi A\]                            

    D)        \[A\]

    Correct Answer: C

    Solution :

    Wave velocity\[v=\frac{\lambda }{T}=\frac{\omega \lambda }{2\pi }\] Maximum particle velocity \[{{({{v}_{\max }})}_{\rho }}=A\omega \] Given,                   \[v={{({{v}_{\max }})}_{\rho }}\]                                 \[\frac{\omega \lambda }{2\pi }=A\omega \] \[\Rightarrow \]                               \[\lambda =2\pi A\]


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