In a closed organ pipe, the number of nodes formed in the fifth and ninth harmonics are respectively:

The first resonance length of a resonance tube is $40\, cm$ and the second resonance length is $122\, cm$. The third resonance length of the tube will be... $cm$

If the length of an open organ pipe is $33.3 \,cm$, then the frequency of the fifth overtone is [Neglect end correction, velocity of sound $= 333 \,m/s$]. (in $\,Hz$)

In the experiment to determine the speed of sound using a resonance column, which of the following statements is correct?

$A$ cylindrical tube open at both ends has a fundamental frequency $f$ in air. When the tube is dipped vertically in water so that one-third part of the tube is in water,the fundamental frequency of the air column becomes (neglect end correction).

$A$ glass tube of $1 \,m$ length is filled with water. The water can be drained out slowly from the bottom of the tube. If a vibrating tuning fork of frequency $500 \,Hz$ is brought at the upper end of the tube, then the total number of resonances obtained are [Velocity of sound in air is $320 \,m/s$].