Question

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L=10logl/l^0, where l^0=10^-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?

Answer 1

Answer:

The  the loudness heard by the mower will be 4 times the loudness heard by the Brandon.

Step-by-step explanation:

The least intense sound a human ear can hear ,$I^o=10^{-12} dB$

The sound intensity level that Brandon can hear ,I= $10^{-10} dB$

$L=10\log\frac{I}{I^0}=10\log\frac{10^{-10} dB}{10^{-12}dB}=20$

The sound intensity level of the mower that Ahmad ,I'=$10^{-4} dB$

$L'=10\log\frac{I'}{I^0}=10\log\frac{10^{-4} dB}{10^{-12}dB}=80$

So, the:

$\frac{L}{L'}=\frac{20}{80}=\frac{1}{4}$

$L'=4\times L$

The the loudness heard by the mower will be 4 times the loudness heard by the Brandon.

Answer 2

Answer:

Step-by-step explanation:

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