Two closed pipes produce $10$ beats per second when emitting their fundamental notes. If their lengths are in the ratio of $25 : 26$,then their fundamental frequencies in $Hz$ are:

Explain the formation of stationary waves in a closed pipe and derive the equations for natural frequencies (normal modes).

$A$ student is performing the experiment of a resonance column. The diameter of the column tube is $6 \, cm$. The frequency of the tuning fork is $504 \, Hz$. The speed of sound at the given temperature is $336 \, m/s$. The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is..........$cm$.

If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of $512 \ Hz$,the first resonance was observed at $30.7 \ cm$ and the second was obtained at $63.2 \ cm$,then the maximum possible error in the velocity of sound is ..... $cm/s$ (consider the actual speed of sound in air is $332 \ m/s$).

An open organ pipe of length $L$ vibrates in the second harmonic mode. The pressure vibration is maximum

If the length of a closed organ pipe is $1.5 \, m$ and the velocity of sound is $330 \, m/s$,then the frequency for the second note is ... $Hz$.