The sound of a bird singing is given as 5 dB. What is the intensity of the sound of a bird singing?

To calculate the intensity of the sound, we can use the formula for sound level in decibels, which is:

L = 10 * log10(I/I0)

where:

• L is the sound level in decibels (dB),
• I is the intensity of the sound wave, and
• I0 is the reference intensity, which is typically the quietest sound that the average human ear can hear (1 x 10^-12 W/m^2).

We can rearrange this formula to solve for I:

I = I0 * 10^(L/10)

Substituting the given values:

I = 1 x 10^-12 W/m^2 * 10^(5/10) I = 1 x 10^-12 W/m^2 * 10^0.5 I = 1 x 10^-12 W/m^2 * 3.162 I = 3.162 x 10^-12 W/m^2

So, the intensity of the sound of a bird singing is approximately 3.162 x 10^-12 W/m^2.