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JEE Main & Advanced Physics Wave Mechanics Question Bank Organ Pipe (Vibration of Air Column)

  • question_answer
    In a resonance tube the first resonance with a tuning fork occurs at 16 cm and second at 49 cm. If the velocity of sound is 330 m/s, the frequency of tuning fork is [DPMT 2002]

    A)            500

    B)            300

    C)            330

    D)            165

    Correct Answer: A

    Solution :

                       For closed pipe \[{{l}_{1}}=\frac{v}{4n}\];\[{{l}_{2}}=\frac{3v}{4n}\]Þ\[v=2n\,({{l}_{2}}-{{l}_{1}})\] Þ \[n=\frac{v}{2({{l}_{2}}-{{l}_{1}})}=\frac{330}{2\times (0.49-0.16)}=500\,Hz\]


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