BCECE Medical BCECE Medical Solved Papers-2001

  • question_answer
    The equation of a wave moving on a string may be written as \[y=3\cos \pi (100\,t-x)\] 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                 \[y=3\cos \pi \,(100\,t-x)\] ... (i) The general equation of wave is                 \[y=a\cos \,(\omega \,t-k\,x)\] ... (ii) Comparing the two equations, we obtain                 \[k=\pi \] or            \[\frac{2\pi }{\lambda }=\pi \] or \[\lambda =2\,cm\]


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