The sound of a bird singing is given as 5 dB. What is the intensity of the sound of a bird singing? A) 1.95 × 10⁻¹² W/m² B) 2.04 × 10⁻¹² W/m² C) 2.98 × 10⁻¹² W/m² D) 3.16 × 10⁻¹² W/m² E) 4.25 × 10⁻¹² W/m²

Question

Quizplus · Accepted Answer

The relationship between intensity and sound level in decibels is given by:
Sound level = 10 log(I/I0)
where I is the intensity of the sound and I0 is the reference intensity (usually taken to be 1x10^-12 W/m^2).
We can rearrange this equation to solve for I:
I = I0 * 10^(Sound level/10)

Using the given sound level of 5 dB, we get:
I = (1x10^-12 W/m^2) * 10^(5/10) = 3.16 x 10^-12 W/m^2

Therefore, the answer is choice D.

The Sound of a Bird Singing Is Given as 5