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.
Similar Questions
If the intensity of a sound wave is 10 W/m² at a distance of 5 m from the source, calculate the intensity at a distance of 20 m from the source.
The intensity of the sound wave from an airplane is 1.0 × 102 W/m2 at 5.0 m. What is the intensity at 100 m?
The sound intensity at a person’s seat in a concert hall is 8.010–5 W m–2. Calculate thesound intensity level, in decibels, at the seat. (Use 1.010–12 W m–2 as the reference level.)
A child complaining of hearing loss is found to have a auditory threshold in the left ear of 40 dB, whereas the threshold in the right ear was measured at 10 dB. By what factor was the minimum sound intensity heard in the left ear greater than the minimum sound intensity heard in the right ear?A.3B.4C.30D.1000
A microphone records sound produced from two speakers. As the microphone is moved around, a position at which the microphone receives a minimum intensity is found. If the intensity of one of the sound waves alone at that location is 0.055 W/m2, and if the microphone receives an intensity of 0.004 W/m2 there, what is a possible value for the intensity of the other source at the microphone’s location?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.