Question
7.4 If the sound waves were to travol the same dlstance through AIR instead of water, how would this affect each of the following? Choose from: INCREASE, DECREASE or REMAINS THE SAME
Ask by Mcfarlane Goodwin. in South Africa
Jan 23,2025
Real Tutor Solution
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Answer
When sound travels the same distance through air instead of water, the speed, wavelength, time taken, intensity, energy transmission, and attenuation **decrease**, while the frequency and pitch perception **remain the same**.
Solution
To determine how sound waves behave when traveling the same distance through **air** instead of **water**, we'll consider several key properties of sound. Here's an analysis based on the typical differences between these two mediums:
1. **Speed of Sound**
- **Decreases**
- **Explanation:** Sound travels faster in water (~1,480 m/s) than in air (~343 m/s) at room temperature.
2. **Wavelength**
- **Decreases**
- **Explanation:** Wavelength (\( \lambda \)) is related to speed (\( v \)) and frequency (\( f \)) by the equation \( \lambda = \frac{v}{f} \). If the speed decreases while the frequency remains the same, the wavelength must decrease.
3. **Frequency**
- **Remains the Same**
- **Explanation:** The frequency of the sound is determined by the source and doesn't change when transitioning between mediums.
4. **Time Taken to Travel the Distance**
- **Increases**
- **Explanation:** Since the speed of sound is slower in air, it takes more time to cover the same distance compared to water.
5. **Intensity (Loudness)**
- **Decreases**
- **Explanation:** Sound attenuates more in air than in water due to factors like higher absorption and scattering, leading to a decrease in intensity over the same distance.
6. **Energy Transmission**
- **Decreases**
- **Explanation:** Less energy is transmitted through air compared to water over the same distance because air is a less efficient medium for conducting sound energy.
7. **Attenuation (Loss of Signal Strength)**
- **Increases**
- **Explanation:** Sound waves lose more energy in air, leading to greater attenuation over the same distance.
8. **Pitch Perception**
- **Remains the Same**
- **Explanation:** Since frequency remains unchanged, the perceived pitch by a listener also remains the same, assuming no Doppler effect is involved.
**Summary Table:**
| **Property** | **Change When Moving to Air** |
|--------------------------------|-------------------------------|
| Speed of Sound | Decreases |
| Wavelength | Decreases |
| Frequency | Remains the Same |
| Time Taken to Travel Distance | Increases |
| Intensity (Loudness) | Decreases |
| Energy Transmission | Decreases |
| Attenuation | Increases |
| Pitch Perception | Remains the Same |
**Note:** These changes are based on typical conditions and may vary with specific environmental factors such as temperature, humidity, and pressure.
Reviewed and approved by the UpStudy tutoring team
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Extra Insights
If the sound waves were to travel the same distance through AIR instead of water, the speed of sound would DECREASE. Sound travels faster in denser mediums like water compared to air, so you’d notice a slower relay of sound in the less dense air. The intensity of sound would also DECREASE as sound waves spread out more in air, losing energy more quickly than in water. So, if you shout underwater and then in air, you’d definitely notice your underwater voice packs a bigger punch!