Determination of the velocity of sound using a closed resonance tube and a tuning fork and also determination of the end correction of the tube

A closed tube when resonating at the fundamental let $\lambda$ be the wavelength of the wave, $l_{1}$ the resonating length of the tube and $e$ the end correction of the tube. Then

If $v$ is the velocity of sound and $f$ the frequency of the fundamental note,

If $l_{2}$ is the resonance length of the first overtone

From (1) and (2)

1. Immerse the tube in the water contained in the jar and fix it to the stand as shown in Figure 14.1.
2. Arrange for a short length of air column in the tube, hold the vibrating tuning fork just about the upper end of the tube and raise the tube along with the fork until an intense sound is heard for the first time indicating fundamental resonance.
3. Using the metre ruler measure length $l_{1}$ of air column.
4. Hold the vibrating tuning fork again above the tube and raise it further to obtain the next state of resonance (first overtone).
5. Measure the relevant length $l_{2}$ of the air column and enter these readings in the table.