Manipal Medical Manipal Medical Solved Paper-2010

  • question_answer
    The equation of longitudinal wave is represented as\[y=20\text{ }cos\pi (50t-x)cm\]. Then its wavelength is

    A)  120 cm        

    B)  50 cm

    C)  2 cm          

    D)  5 cm

    Correct Answer: C

    Solution :

     The standard equation of a wave of amplitude a is given by \[y=a\cos (\omega t-kx)\]       ...(i) where,\[\omega \] is angular velocity, k the wave number and t the time. Given equation is \[y=20\cos \pi (50t-x)\]       ... (ii) Comparing Eq. (i) with Eq. (ii), we get \[k=\frac{2\pi }{\lambda }=\pi \] \[\Rightarrow \]               \[\lambda =2cm\]


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