JEE Main & Advanced Physics Wave Mechanics Question Bank Critical Thinking

  • question_answer
    Two loudspeakers L1 and L2 driven by a common oscillator and amplifier, are arranged as shown. The frequency of the oscillator is gradually increased from zero and the detector at D records a series of maxima and minima. If the speed of sound is 330 ms?1 then the frequency at which the first maximum is observed is

    A)            165 Hz                                     

    B)            330 Hz

    C)            496 Hz                                     

    D)            660 Hz

    Correct Answer: B

    Solution :

     Path difference between the wave reaching at D                     \[\Delta x={{L}_{2}}P-{{L}_{1}}P\]\[=\sqrt{{{40}^{2}}+{{9}^{2}}}-40\]\[=41-40\]= 1m                    For maximum \[\Delta x=(2n)\frac{\lambda }{2}\] For first maximum (n = 1)  Þ\[1=2(1)\frac{\lambda }{2}\]Þ \[\lambda =1m\] Þ \[n=\frac{v}{\lambda }=330Hz\].


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