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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    When beats are produced by two progressive waves of the same amplitude and of nearly the same frequency, the ratio of maximum loudness to the loudness of one of the waves              will be n. Where n is:

    A)  3            

    B)         1

    C)  4           

    D)         2

    Correct Answer: C

    Solution :

    We know that intensity \[I\propto {{a}^{2}},\] where a is amplitude of tile wave. The maximum amplitude is the sum of two amplitudes i.e., \[(a+a=2a)\]Hence, maximum intensity \[\propto 4{{a}^{2}}\] Therefore the required ratio i.e., ratio of maximum intensity (loudness) and intensity (loudness) of one wave is given by \[n=\frac{4{{a}^{2}}}{{{a}^{2}}}=4\]


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