JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    Which of the following is not true for this progressive wave \[y=4\sin 2\pi \left( \frac{t}{0.02}-\frac{x}{100} \right)\] where \[y\] and \[x\] are in cm & \[t\] in sec                                                       [CPMT 2003]

    A)            Its amplitude is 4 cm

    B)            Its wavelength is 100 cm

    C)            Its frequency is 50 cycles/sec

    D)            Its propagation velocity is \[50\times {{10}^{3}}\] cm/sec

    Correct Answer: D

    Solution :

               \[y=4\sin 2\pi \left( \frac{t}{0.02}-\frac{x}{100} \right)\].            Comparing this equation with \[y=a\sin 2\pi \left( \frac{t}{T}-\frac{x}{\lambda } \right)\]            \[v=\frac{\text{Co-efficient of }t}{\text{Co-efficient of }x}=\frac{1/0.02}{1/100}\]


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