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What physical change occurs when source ...

What physical change occurs when source of sound waves is at rest and the listener moves?

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To solve the question regarding the physical change that occurs when the source of sound waves is at rest and the listener moves, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Initial Condition**: - When both the source of sound and the listener are at rest, the listener receives a certain number of wavefronts per second, which we denote as \( X \). This means the frequency of the sound heard by the listener is \( f = X \) Hertz. 2. **Calculating the Time Period**: - The time period \( T \) of the sound waves is the reciprocal of the frequency. Therefore, \( T = \frac{1}{f} = \frac{1}{X} \) seconds. 3. **Introducing Motion of the Listener**: - Now, consider the case where the listener is moving with a velocity \( V \) meters per second. In one second, the listener travels a distance \( V \) meters. 4. **Determining the New Position**: - As the listener moves, they will encounter more wavefronts than when they were at rest. The new position of the listener after one second is denoted as \( L' \). 5. **Counting the Wavefronts**: - Since the listener is moving towards the source of sound, they will receive additional wavefronts in the time it takes to travel the distance \( V \). Therefore, the number of wavefronts received in one second becomes \( Y \), where \( Y > X \). 6. **Calculating the New Frequency**: - The new frequency \( f' \) of the sound waves heard by the listener is now \( f' = Y \) Hertz, which is greater than the original frequency \( f \). 7. **Conclusion**: - The physical change that occurs is an increase in frequency as the listener moves towards the source of sound. This phenomenon is known as the Doppler Effect. ### Final Answer: The physical change that occurs when the source of sound waves is at rest and the listener moves is an **increase in frequency** of the sound waves heard by the listener. ---

To solve the question regarding the physical change that occurs when the source of sound waves is at rest and the listener moves, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Initial Condition**: - When both the source of sound and the listener are at rest, the listener receives a certain number of wavefronts per second, which we denote as \( X \). This means the frequency of the sound heard by the listener is \( f = X \) Hertz. 2. **Calculating the Time Period**: ...
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