You carried out an experiment to find the speed of sound in air, in which you measured the frequency and the wavelength of a sound wave - Leaving Cert Physics - Question 2 - 2008

To find the frequency of the sound wave:

1. Measure the length of the vibrating air column using the resonance tube.

2. Identify the fundamental frequency produced by the tuning fork or the signal generator.

3. Use the provided formula for the frequency corresponding to the first resonance:

   $f = \frac{v}{\lambda}$

   where $v$ is the speed of sound and $\lambda$ is the wavelength.

To measure the wavelength of the sound wave:

1. Use a ruler to measure the diameter of the tube to ensure accuracy.

2. Use the resonance method to find successive resonances; the difference in lengths between successive resonances gives you half the wavelength.

3. The formula for wavelength can be stated as:

   $\lambda = 2 \cdot (L_2 - L_1)$

   where $L_2$ and $L_1$ are the distances to the respective resonances.

To calculate the speed of sound in air:

1. Use the formula relating speed, frequency, and wavelength:

   $v = f \cdot \lambda$

2. Substitute the value of frequency found in part (ii) and the wavelength calculated in part (iii).

3. Compute the resultant speed of sound in air.

To ensure an accurate result:

1. Multiple Trials: Repeat the experiment several times using different frequencies and water levels, then take an average to minimize errors.
2. Calibration: Ensure all instruments are properly calibrated before use.