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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Waves

  • question_answer
    Equation of a progressive wave is given by \[y=4\sin \left[ \pi \left( \frac{1}{5}-\frac{x}{9} \right)+\frac{\pi }{6} \right]\] Then which of the following is correct?

    A)  v = 5cm

    B)  \[\lambda =18cm\]

    C) a = 0.04 cm

    D) f=50Hz

    Correct Answer: B

    Solution :

    [b] The standard equation of a progressive wave is \[y=a\,\sin \left[ 2\pi \left( \frac{t}{T}-\frac{x}{\lambda } \right)+\phi  \right]\] The given equation can be written as \[y=4\sin \left[ 2\pi \left( \frac{t}{10}-\frac{x}{18} \right)+\frac{\pi }{6} \right]\] \[\therefore \,a=4cm,\,T=10s,\,\lambda =18cm\] and \[\phi =\pi /6\] Hence, [b] is correct.


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