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 rock concert with a sound intensity of 10–1?

A. 2 Db
B. 22 Db
C. 60 Db
D. 110 Db

Answer 1

Answer: D. 110 Db

Explanation:

Answer 2

The approximate loudness of a rock concert with a sound intensity of
`10^(-1)` is 110 Db.

Explanation:

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is :
`L=10 log ((I)/(I_0))`

`I_0=10^(-12)`

We are supposed to find What is the approximate loudness of a rock concert with a sound intensity of
`10^(-1)`

So,
`I = 10^(-1)`

Substitute the values in the formula :

`L=10 log ((10^(-1))/(10^(-12)))`

`L=10 log (10^(11))`

L=110 Db

So, the approximate loudness of a rock concert with a sound intensity of
`10^(-1)` is 110 Db.