J & K CET Medical J & K - CET Medical Solved Paper-2002

  • question_answer
    A particle has displacement y given by y = 3 \[\sin (r\pi t+\pi )\], where y is in metre and t in second. What are frequency and period of motion?

    A)  0.4 Hz, 2.5 s                       

    B)  2.5 Hz, 0.4 s

    C)  2.5 Hz, 2.5 s                       

    D)  0.4 Hz, 0.4 s

    Correct Answer: B

    Solution :

                    The standard equation of a wave is \[y=a\sin (\omega t+\phi )\]                    ...(i) where a is amplitude, co the angular velocity and\[\phi \]the phase. Given, equation is \[y=3\sin (5\pi t+\pi )\]           ...(ii) Comparing Eqs. (i) and (ii), we get                 \[\omega =5\pi \] Also,      \[\omega =2\pi r\] \[\therefore \]  \[n=\frac{\omega }{2\pi }=\frac{5\pi }{2\pi }=2.5\,Hz\]                 \[T=\frac{1}{n}=\frac{1}{2.5}=0.4\,s\]


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