The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L=10log / divided by /, where / 0=10^-12 and is the least intense sound a human ear can hear. What is the approximate loudness of the dinner conversation, with a sound intensity of 10-7, Rajah has with his parents?

Question

Cherish Spears

Mathematics

25 April, 20:34

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L=10log / divided by /, where / 0=10^-12 and is the least intense sound a human ear can hear. What is the approximate loudness of the dinner conversation, with a sound intensity of 10-7, Rajah has with his parents?

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Answers (1)

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Lisa Wade · Answer 1

L = 10 log (I / 10-12)

With I = 10^-7, we get

L = 10 log (10^-7 / 10^-12)

L = 10 log (10^5)

L = 10 (5)

L = 50 dB

The answer to this question is 50 dB.