The sound of a band is rated as 60 dB at a distance of 10.0 m. What is the sound intensity level of the band when one is 20.0 m from the band?
Question
The sound of a band is rated as 60 dB at a distance of 10.0 m. What is the sound intensity level of the band when one is 20.0 m from the band?
Solution
The sound intensity level (in dB) decreases by 6 dB each time the distance is doubled. This is known as the inverse square law.
Here's how you can calculate it:
- Identify the initial sound intensity level and distance. In this case, it's 60 dB at 10.0 m.
- Determine the new distance. In this case, it's 20.0 m, which is twice the initial distance.
- Apply the inverse square law. Since the distance doubled, the sound intensity level will decrease by 6 dB.
- Subtract 6 dB from the initial sound intensity level.
So, 60 dB - 6 dB = 54 dB.
Therefore, the sound intensity level of the band when one is 20.0 m from the band is 54 dB.
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