The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. Brandon is trying to take a nap, and he can barely hear his neighbor mowing the lawn. The sound intensity level that Brandon can hear is 10-10. Ahmad, Brandon's neighbor that lives across the street, is mowing the lawn, and the sound intensity level of the mower is 10-4. How does Brandon's sound intensity level compare to Ahmad's mower? Brandon's sound intensity is One-fourth the level of Ahmad's mower.

Brandon's sound intensity is One-fourth the level of Ahmad's mower.

Brandon's sound intensity is 20 times the level of Ahmad's mower.

Brandon's sound intensity is 80 times the level of Ahmad's mower.

Question

Mathematics

Israel Todd

17 December, 13:35

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. Brandon is trying to take a nap, and he can barely hear his neighbor mowing the lawn. The sound intensity level that Brandon can hear is 10-10. Ahmad, Brandon's neighbor that lives across the street, is mowing the lawn, and the sound intensity level of the mower is 10-4. How does Brandon's sound intensity level compare to Ahmad's mower? Brandon's sound intensity is One-fourth the level of Ahmad's mower.

Brandon's sound intensity is One-fourth the level of Ahmad's mower.

Brandon's sound intensity is 20 times the level of Ahmad's mower.

Brandon's sound intensity is 80 times the level of Ahmad's mower.

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Answers (2)

Know the Answer?

Viola · Answer 1

A. Brandon's sound intensity is 1/4 the level of Ahmad's mower.

Quinn Francis · Answer 2

Brandon's sound intensity is One-fourth the level of Ahmad's mower

Step-by-step explanation:

Data

The sound intensity level that Brandon can hear is 10^ (-10)

Ahmad's mower sound intensity level is 10^ (-4).

L = 10*log (I/10^ (-12))

where L is loudness in decibels and I is sound intensity in watts per square meter.

The loudness that Brandon can hear:

L = 10*log (10^ (-10) / 10^ (-12)) = 10*log (2) = 20

Ahmad's mower loudness:

L = 10*log (10^ (-4) / 10^ (-12)) = 10*log (8) = 80

One-fourth the level of Ahmad's mower is 80 * (1/4) = 20 which is equal to Brandon's sound intensity