Question

Use the following information for determining sound intensity. The level of sound β, in decibels, with an intensity of I, is given by β = 10 log(I/I_o), where I_o is an intensity of 10^-12 watt per square meter, corresponding roughly to the faintest sound that can be heard by the human ear. find the level of sound β.

Answer 1

Step 1:

(a)

The level of sound is  .

Standard intensity of sound is .

Intensity of sound of quiet room is .

Power property of logarithms: .

The level of Sound is .

Solution:

The level of Sound is .

Answer 2

Step 1:

(b)

The level of sound is  .

Standard intensity of sound is .

Intensity of sound of busy street corner is .

Power property of logarithms: .

The level of Sound is .

Solution:

The level of Sound is .

Answer 3

Step 1:

(c)

The level of sound is  .

Standard intensity of sound is .

Intensity of sound of quiet radio is .

Power property of logarithms: .

The level of Sound is dB.

Solution:

The level of Sound is dB.

Answer 4

Step 1:

(c)

The level of sound is  .

Standard intensity of sound is .

Intensity of sound of threshold of pain is .

Power property of logarithms: .

The level of Sound is dB.

Solution:

The level of Sound is dB.