J & K CET Medical J & K - CET Medical 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 units

    B)  it is travelling in the positive x-direction

    C)  wave velocity is 1.5 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 \[\lambda =2\text{ }units\]        


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