Question

If the student hears a sound at 35 dB, what is the intensity of the sound?

Answer 1

To solve for the intensity level of the sound heard by the student at 35 dB, we have the solutions enumerated below:
1. Divide the decibels by 10
35/10=3.5
2.Use the value as exponent
10^3.5=3162.28
3. Find the intensity
I/10^-12W/m²=10^3.5
I=3.1624^-9 W/m²

Answer 2

Answer:

The intensity of the sound is $3.16\times 10^{-9}\ W/m^2$.

Explanation:

It is given that,

Sound heard by the student, i = 35 dB

To find,

The intensity of the sound

Solution,

The intensity of sound is given by the following formula :

$i=10\ log(\dfrac{I}{I_o})$

Where

$I_o=10^{-12}\ W/m^2$ is the minimum intensity of human being

I is the intensity of the sound

$35=10\ log(\dfrac{I}{10^{-12}})$

$I=3162.27\times 10^{-12}\ W/m^2$

$I=3.16\times 10^{-9}\ W/m^2$

So, the intensity of the sound is $3.16\times 10^{-9}\ W/m^2$.