AIIMS AIIMS Solved Paper-2002

  • question_answer
    If equation of a sound wave is \[y=0.0015\,\sin \,(62.8x+314t)\] then its wavelength will be:

    A)  2 unit                   

    B) 0.3 unit                               

    C)  0.1 unit                               

    D)  0.2 unit Key Idea:

    Correct Answer: C

    Solution :

    The standard equation of sound wave is \[y=a\,\sin 2\pi \left( \frac{x}{\lambda }+\frac{t}{T} \right)\] where a is amplitude, \[\lambda \] is wavelength and T is  time period. Given equation of wave is \[y=0.0015\,\,\sin \,(62.8x+314t)\]            ...(1) Comparing given Eq. (1) with standard wave, we get \[\frac{2\pi }{\lambda }=62.8\] \[\Rightarrow \lambda =\frac{2\pi }{62.8}=\frac{2\times 3.14}{62.8}=0.1\,\,unit\]  


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