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

50 Db

Explanation:

Answer 2

The loudness of the dinner conversation is 40 dB

Explanation:

Loudness in dB = 10
`Log_(10)`
`((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)`
`((10^(-7) )/(10^(-12) ))` = 10
`Log_(10)`
`( 10^(4) )` = 40 dB