The sound level at a distance 3.00 m away from a source is 120 dB. At...

Question

Question

The sound level at a distance 3.00 m away from a source is 120 dB. At what distance will the sound level decrease to 100 dB?

Answer 1

Answer #1

Initial distance = R₁ = 3 m

Sound intensity level at a distance of 3 m from the source = ₁ = 120 dB

Sound intensity at a distance of 3 m from the source = I₁

I₁ = 1 W/m²

New distance = R₂

Sound intensity level at the new distance from the source = ₂ = 100 dB

Sound intensity at the new distance from the source = I₂

I₂ = 0.01 W/m²

The sound is equally distributed in a spherical manner.

I₁(4R₁²) = I₂(4R₂²)

I₁R₁² = I₂R₂²

(1)(3)² = (0.01)R₂²

R₂ = 30 m

Distance from the source so that the sound level decreases to 100 dB = 30 m

Answer 2

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