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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. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
–58 Db
–50 Db
9 Db
50 Db

Respuesta :

calculista

Answer:

50 Db

Step-by-step explanation:

we know that

The loudness in decibels is given by the formula

[tex]L = 10log(\frac{I}{I_0})[/tex]

where

I  = sound intensity in watts per square meter (Watts/m^2)

I₀ = reference intensity, = 10^(-12) Watts/m^2

so

For I=10^(-7) Watts/m^2

substitute in the formula above and solve for L

[tex]L = 10log(\frac{10^{-7} }{10^{-12}})[/tex]

[tex]L = 10log(10^{5})[/tex]

[tex]L = 10 (5)=50\ Db[/tex]

Answer:

D. 50 Db on ed

i took the test and i got it right

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