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JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    Equation of a progressive wave is given by \[y=a\,\sin \pi \,\left[ \frac{t}{2}-\frac{x}{4} \right]\,,\] where t is in seconds and x is in meters. The distance through which the wave moves in 8 sec is (in meter)                                       [KCET 1998]

    A)            8    

    B)            16

    C)            2    

    D)            4

    Correct Answer: B

    Solution :

                       \[v=\frac{\text{Co}-\text{efficent}\ \text{of}\ t}{\text{Co}-\text{efficent}\ of\ x}=\frac{1/2}{1/4}=2\,m/s\] Hence \[d=v\,t=2\times 8=16m\]


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