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BCECE Engineering BCECE Engineering Solved Paper-2001

  • question_answer
    The equation of a wave moving on a string may be written as\[y=3\,\cos \,\pi (100t-x)\]where x, y are in cm and t in second. Its wavelength will be:  

    A)  5 cm                                     

    B)  2 cm                     

    C)  100 cm                

    D)         3 cm

    Correct Answer: B

    Solution :

    Key Idea: Comparing the equation of wave moving on a string with standard (general) wave equation. The given wave equation is \[y=3\cos \pi (100t-x)\]                                 ?(i) The general equation of wave is                 \[y=a\cos (\omega t-kx)\]                                           ?(ii) Comparing the two equations, we obtain \[k=\pi \] or            \[\frac{2\pi }{\lambda }=\pi \] or            \[\lambda =2\,cm\]


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