You may use a calculator. A 5.0 m solid iron rod is at 25°C. How long would it take sound to move through the rod from one end to another? O 4.5 x 10-³ S O 9.7 x 10 4 S ○ 4.2 x 10-4 s O2.9 x 10-4 S Speed of Sound Waves in Various Mediums m/s 331 343 972 1,493 1,533 3,560 5,130 Medium Air (0° C) Air (20° C) Helium (0° C) Water 25° C) Seawater (25° C) Copper (25° C) Iron (25° C)
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.
![**Understanding the Speed of Sound in Various Mediums**
When studying how sound waves propagate through different materials, it's important to recognize that the medium through which the sound travels significantly impacts its speed. Below, we will explore how long it takes for sound to travel through a solid iron rod by using data on the speed of sound in various mediums.
### Problem
A 5.0-meter solid iron rod is at 25°C. How long would it take for sound to travel through the rod from one end to another?
You may use a calculator.
**Options:**
- \( 4.5 \times 10^{-3} \) s
- \( 9.7 \times 10^{-4} \) s
- \( 4.2 \times 10^{-4} \) s
- \( 2.9 \times 10^{-4} \) s
### Speed of Sound in Various Mediums
To solve the problem, we need to refer to the following table that lists the speed of sound in different mediums:
| **Medium** | **m/s** |
|----------------------|---------|
| Air (0°C) | 331 |
| Air (20°C) | 343 |
| Helium (0°C) | 972 |
| Water (25°C) | 1,493 |
| Seawater (25°C) | 1,533 |
| Copper (25°C) | 3,560 |
| **Iron (25°C)** | **5,130** |
To determine the time it takes sound to travel through the iron rod, we use the relationship:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Given:
- Distance \( d = 5.0 \) meters
- Speed in iron \( v = 5,130 \) meters per second (m/s)
### Calculation
\[ \text{Time} = \frac{5.0 \, \text{m}}{5,130 \, \text{m/s}} \]
\[ \text{Time} = 0.000974 \, \text{s} \]
\[ \text{Time} \approx 9.7 \times 10^{-4} \, \text{s} \]
### Conclusion
The time it takes for sound to move through the iron](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6eba5a4d-f302-4729-8b12-c9b5ee82be56%2F090462a7-928a-46c8-a4ec-4cb84e10313c%2Fv81gerd_processed.jpeg&w=3840&q=75)
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