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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Waves

  • question_answer
    The number of possible natural oscillation of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are: (velocity of sound \[=340m{{s}^{-1}}\])

    A)  4

    B)  5      

    C) 7

    D) 6

    Correct Answer: D

    Solution :

    [d] In case of closed organ pipe frequency, \[{{f}_{n}}=(2n+1)\frac{v}{4l}\] For \[n=0,\,{{f}_{0}}=100Hz\] \[n=1,\,{{f}_{1}}=300Hz\] \[n=2,\,{{f}_{2}}=500Hz\] \[n=3,\,{{f}_{3}}=700Hz\] \[n=4,\,{{f}_{4}}=900Hz\] \[n=5,\,{{f}_{5}}=1100Hz\] \[n=6,\,{{f}_{6}}=1300Hz\] Hence possible natural oscillation whose frequencies < 1250 Hz=6(n= 0, 1, 2, 3, 4, 5)


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