JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

  • question_answer
    Equation of a progressive wave is given by                    \[y=4\sin \left\{ \pi \left( \frac{t}{5}-\frac{x}{9} \right)+\frac{\pi }{6} \right\}\]            Then which of the following is correct [CBSE PMT 1993]

    A)            \[v=5\,m/\sec \]                

    B)            \[\lambda =18\,m\]

    C)            \[a=0.04\,m\]                      

    D)            \[n=50\,Hz\]

    Correct Answer: B

    Solution :

               From the given equation amplitude \[a=0.04m\] Frequency \[=\frac{\text{Co}-\text{efficient of t}}{2\pi }\]\[=\frac{\pi /5}{2\pi }=\frac{1}{10}Hz\]             Wave length \[\lambda =\frac{2\pi }{\text{Co}-\text{efficient}\ of\ x}\]     \[=\frac{2\pi }{\pi /9}\]=18m.            Wave speed \[v=\frac{\text{Co-efficient of }t}{\text{Co-efficient of }x}\] \[=\frac{\pi /5}{\pi /9}=1.8m/s.\]


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