J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    Equation of progressive wave is \[y=A\,\sin \left( 10\,\pi x+11\pi t+\frac{\pi }{3} \right)\]

    A)  its wavelength is \[2\text{ }units\]

    B)  it is travelling in the positive x-direction

    C)  wave velocity is \[1.5\text{ }units\]

    D)  time period of SHM is 1 s

    Correct Answer: A

    Solution :

    The standard equation is \[y=a\,\sin \,2\pi \,\left( \frac{t}{T}-\frac{x}{\lambda }+\phi  \right)\] ?(i) Dividing and multiplying the given equation by \[2\pi ,\] we get \[y=a\,\sin \,2\pi \,\left( \frac{10}{2}x+\frac{11}{2}t+\frac{\pi }{3} \right)\] ?..(ii) On comparing Eqs. (i) and (ii), we get \[\lambda =2\,\,units\]


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