$A$ tuning fork with frequency $800 \; Hz$ produces resonance in a resonance column tube with the upper end open and the lower end closed by a water surface. Successive resonances are observed at lengths $9.75 \; cm$,$31.25 \; cm$,and $52.75 \; cm$. The speed of sound in air is ...... $m/s$.

  • A
    $500$
  • B
    $156$
  • C
    $344$
  • D
    $172$

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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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