A 40-cm-long tube has a 40-cm-long insert that can be pulled in and out. A vibrating tuning fork is held next to the tube. As the insert is slowly pulled out, the sound from the tuning fork creates standing waves in the tube when the total length L is 42.5 cm, 59.4 cm, and 76.2 cm. (Figure 1) Figure 40 cm L 40 cm 1 of 1 What is the frequency of the tuning fork? Assume Dound = 343 m/s. Express your answer with the appropriate units. f= Submit Value Provide Feedback Request Answer Units ?
Properties of sound
A sound wave is a mechanical wave (or mechanical vibration) that transit through media such as gas (air), liquid (water), and solid (wood).
Quality Of Sound
A sound or a sound wave is defined as the energy produced due to the vibrations of particles in a medium. When any medium produces a disturbance or vibrations, it causes a movement in the air particles which produces sound waves. Molecules in the air vibrate about a certain average position and create compressions and rarefactions. This is called pitch which is defined as the frequency of sound. The frequency is defined as the number of oscillations in pressure per second.
Categories of Sound Wave
People perceive sound in different ways, like a medico student takes sound as vibration produced by objects reaching the human eardrum. A physicist perceives sound as vibration produced by an object, which produces disturbances in nearby air molecules that travel further. Both of them describe it as vibration generated by an object, the difference is one talks about how it is received and other deals with how it travels and propagates across various mediums.
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**Task:**
Determine the frequency of the tuning fork. Assume the speed of sound \( v_{\text{sound}} = 343 \, \text{m/s} \).
**Answer Format:**
Express your answer with the appropriate units:
\[
f = \text{Value} \, \text{Units}
\]
**Interactive Elements:**
- Input box for frequency value and units.
- Submit button for answers.
- Option to request the correct answer.
- Provide feedback link.
### Figure Description
**Diagram:**
- The figure shows a 40 cm tube with a 40 cm insert. This setup is used to observe the changes in wavelength when the insert is adjusted.
**Important Measurements:**
- Total tube lengths at which standing waves are observed: 42.5 cm, 59.4 cm, and 76.2 cm.
This experiment illustrates the principles of sound wave resonance and the relationship between frequency, wavelength, and speed of sound.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d688b34-c43a-4a2a-9e75-79997b42342d%2Fb9001e11-77b5-46cf-b75e-f0f04e64ea6d%2Fm46p3gd_processed.jpeg&w=3840&q=75)
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