BHU PMT BHU PMT (Mains) Solved Paper-2011

  • question_answer

    Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:

    Velocity of sound in air is 320 m/s. A pipe closed at one end has a length of 1 m. Neglecting end corrections, the air column in the pipe can resonate for sound of frequency (1) 80 Hz                               (2) 240 Hz (3) 320 Hz           (4) 800 Hz

    A)   1, 2 and 3 are correct

    B)  1 and 2 are correct

    C)   2 and 4 are correct

    D)  1 and 3 are correct

    Correct Answer: B

    Solution :

                     For closed pipe \[f=n\left( \frac{v}{4l} \right),\] \[n=1,3,5......\] For \[n=1\]                 \[{{f}_{1}}=\frac{v}{4l}=\frac{320}{4\times 1}=80\,Hz\] For\[n=3\]                 \[{{f}_{3}}=3{{f}_{1}}=240\,Hz\] For \[n=5\]                 \[{{f}_{5}}=5{{f}_{1}}=400\,Hz\]


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