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JEE Main & Advanced Sample Paper JEE Main Sample Paper-34

  • question_answer
    Equation of a longitudinal wave is given as \[s={{10}^{2}}\,\sin 2\pi \left( 1000t+\frac{50x}{17} \right)\] (all SI units),At \[t=0\], change in pressure is maximum (in modulus) at x = ?

    A)  0.34                                      

    B)  0.255

    C)  0.085                                   

    D)  All of these

    Correct Answer: A

    Solution :

    \[P=\frac{-B\partial S}{\partial x}\]             \[=-{{10}^{-2}}\,B\times 2\pi \,\cos \,\left( 2000\,\pi t\,+\frac{100\,\pi x}{17} \right)\,\times \frac{50}{17}\] maximum when \[\cos \left( \frac{100\,\pi x}{17} \right)\,=+1\]          Use option in above equation to justify it.


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