Question

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?

Answer 1

Answer:

The loudness of the dinner conversation is 40 dB

Step-by-step explanation:

Loudness in dB = 10$Log_{10}$ $(\frac{I}{I_{o} })$

where $I_{0}$ is the least intense sound a human can hear = $10^{-12}$ W/m^2

For a dinner conversation with sound intensity of $I$ = $10^{-7}$ W/m^2

Loudness = 10$Log_{10}$ $(\frac{10^{-7} }{10^{-12} })$ = 10$Log_{10}$ $( 10^{4} )$ = 40 dB

Answer 2

Answer:

50 Db

Step-by-step explanation: