Question

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where 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?

Answer 1

answer was D. 50db

Explanation:

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Answer 2

The loudness in decibels is
L = log₁₀(I/I₀)
where
I = sound intensity, W/m^2
I₀ = reference intensity, = 10^(-12) W/m^2

Raja's power level is 10^(-7) W, therefore the decibel value is
L = 10 log₁₀(10^(-7)/10^(-12))
= 10log₁₀10^5
= 10*5
= 50 dB

Answer: 50 dB