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:

The approximate loudness of a rock concert with a sound intensity of $10^{-1}$ is 110 Db.

Step-by-step explanation:

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is :$L=10 log (\frac{I}{I_0})$

$I_0=10^{-12}$

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 :

$L=10 log (\frac{10^{-1}}{10^{-12}})$

$L=10 log (10^{11})$

L=110 Db

So, the approximate loudness of a rock concert with a sound intensity of $10^{-1}$ is 110 Db.

Answer 2

Answer: D. 110 Db

Step-by-step explanation: