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 rock concert with a sound intensity of 10–1?.

Respuesta :

The approximate loudness of a rock concert with a sound intensity of 10⁻⁹ is 110 Db.

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

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

[tex]\rm L = 10 \ log \ \dfrac{I}{I_o}[/tex]

where [tex]\rm I_o = 10^{-12}[/tex] and is the least intense sound a human ear can hear.

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ will be

[tex]\rm L = 10 \ log \ \dfrac{10^-^1}{10^{-12}}\\\\\rm L = 10 \ log 10^1^1\\\\L = 10*11\\\\L = 110[/tex]

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ is 110 Db.

More about the logarithm link is given below.

https://brainly.com/question/7302008