Two consecutive harmonics of an air column in a pipe closed at one end are of frequencies $150 \,Hz$ and $250 \,Hz$. The fundamental frequency of the air column is: (in $\,Hz$)

  • A
    $25$
  • B
    $75$
  • C
    $100$
  • D
    $50$

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$A$ student is performing the experiment of Resonance Column. The diameter of the column tube is $4 \ cm$. The frequency of the tuning fork is $512 \ Hz$. The air temperature is $38^{\circ}C$ in which the speed of sound is $336 \ m/s$. The zero of the meter scale coincides with the top end of the Resonance column tube. When the first resonance occurs,the reading of the water level in the column is ..... $cm$.

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For a certain organ pipe,the first three resonance frequencies are in the ratio of $1:3:5$ respectively. If the frequency of the fifth harmonic is $405 \, Hz$ and the speed of sound in air is $324 \, ms^{-1}$,the length of the organ pipe is $.......... m$.

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