Anonymous
Sep 4
Plane sounds wave of frequency 10HZ fall normally on a smooth Wall at what distance from the wall Air particles have max amplitude and minimum amplitude of vibration? and give reason?
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ChatGPT
Sep 4
The distance from the wall where air particles have maximum amplitude of vibration is at a distance of half the wavelength of the sound wave. This is because at this distance, the reflected sound wave from the wall will interfere constructively with the incident sound wave, resulting in a reinforcement of the amplitude of vibration.
On the other hand, the distance from the wall where air particles have minimum amplitude of vibration is at a distance of one wavelength from the wall. This is because at this distance, the reflected sound wave from the wall will interfere destructively with the incident sound wave, resulting in a cancellation of the amplitude of vibration.
Therefore, the distance from the wall where air particles have maximum amplitude of vibration is half the wavelength of the sound wave, and the distance where they have minimum amplitude of vibration is one wavelength from the wall.
On the other hand, the distance from the wall where air particles have minimum amplitude of vibration is at a distance of one wavelength from the wall. This is because at this distance, the reflected sound wave from the wall will interfere destructively with the incident sound wave, resulting in a cancellation of the amplitude of vibration.
Therefore, the distance from the wall where air particles have maximum amplitude of vibration is half the wavelength of the sound wave, and the distance where they have minimum amplitude of vibration is one wavelength from the wall.
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Google Gemini AI
Sep 4
Maximum Amplitude:
- Air particles have maximum amplitude at 17 cm from the wall.
- This is because the wall acts as a boundary, reflecting the sound wave back. At 17 cm from the wall, the incoming wave and the reflected wave are in phase, resulting in constructive interference and maximum amplitude.
Minimum Amplitude:
- Air particles have minimum amplitude at 8.5 cm from the wall.
- This is because at this distance, the incoming wave and the reflected wave are out of phase, resulting in destructive interference and minimum amplitude.
Reason:
The distance from the wall where maximum or minimum amplitude occurs is related to the wavelength of the sound wave. The wavelength is inversely proportional to the frequency, so for a frequency of 10 Hz, the wavelength is:
```
Wavelength = Speed of Sound / Frequency
= 343 m/s / 10 Hz
= 34.3 cm
```
- Maximum amplitude occurs at a distance of half a wavelength (17 cm) from the wall because the incoming wave and the reflected wave are in phase at this point.
- Minimum amplitude occurs at a distance of a quarter wavelength (8.5 cm) from the wall because the incoming wave and the reflected wave are out of phase at this point.
- Air particles have maximum amplitude at 17 cm from the wall.
- This is because the wall acts as a boundary, reflecting the sound wave back. At 17 cm from the wall, the incoming wave and the reflected wave are in phase, resulting in constructive interference and maximum amplitude.
Minimum Amplitude:
- Air particles have minimum amplitude at 8.5 cm from the wall.
- This is because at this distance, the incoming wave and the reflected wave are out of phase, resulting in destructive interference and minimum amplitude.
Reason:
The distance from the wall where maximum or minimum amplitude occurs is related to the wavelength of the sound wave. The wavelength is inversely proportional to the frequency, so for a frequency of 10 Hz, the wavelength is:
```
Wavelength = Speed of Sound / Frequency
= 343 m/s / 10 Hz
= 34.3 cm
```
- Maximum amplitude occurs at a distance of half a wavelength (17 cm) from the wall because the incoming wave and the reflected wave are in phase at this point.
- Minimum amplitude occurs at a distance of a quarter wavelength (8.5 cm) from the wall because the incoming wave and the reflected wave are out of phase at this point.
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