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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2007

  • question_answer
        The displacement y of a particle in a medium can be expressed as \[y={{10}^{-6}}\sin \left( 100t+20x+\frac{\pi }{4} \right)m,\]where t is in second and x in metre. The speed of the wave is

    A)  2000 m/s            

    B)  5 m/s

    C)  20 m/s                                

    D)  57cm/s

    Correct Answer: B

    Solution :

                    As given \[y={{10}^{-6}}\sin \left( 100t+20x+\frac{\pi }{4} \right)\]                            ...(i) Comparing it with            \[y=a\sin (\omega t+kx+\phi )\]                                               ?.(ii) we find, \[\omega =100\text{ }rad/s,\text{ }k=20/m\] \[\therefore \]  \[v=\frac{\omega }{k}=\frac{100}{20}=5\,m/s\]


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