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JEE Main & Advanced Physics Wave Mechanics Question Bank Progressive Waves

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    The displacement y of a particle in a medium can be expressed as: \[y={{10}^{-6}}\sin (100t+20x+\pi /4)m,\] where t is in second and x in meter. The speed of wave is  [AIEEE 2004]

    A)            2000 m/s                                

    B)            5 m/s

    C)            20 m/s                                    

    D)            \[5\pi \text{ }m/s\]

    Correct Answer: B

    Solution :

               \[v=\frac{\text{Co}-\text{efficent}\ \text{of}\ t}{\text{Co}-\text{efficent}\ \text{of}\ x}=\frac{\omega }{k}=\frac{100}{20}=5\,m/s.\]


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