A loudspeaker is placed between two observers who are 125 apart, alonq the line connecting them. If one observer (observer A) records a sound level of 55 dB and the other (observer B) records a sound level of 85 dB, how far is the speaker from each observer? m (from observer A) m (from observer B)

Question

Physics

Danica Daugherty

26 April, 23:51

A loudspeaker is placed between two observers who are 125 apart, alonq the line connecting them. If one observer (observer A) records a sound level of 55 dB and the other (observer B) records a sound level of 85 dB, how far is the speaker from each observer? m (from observer A) m (from observer B)

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Mariyah Brady · Answer 1

55dB = 5.5 B

85 dB = 8.5 B

For observer A intensity of sound I (A) = 10⁵°⁵ unit

For observer B intensity of sound I (B) = 10⁸°⁵. unit

If distance be d₁ for A and d₂ for B

d₁ ² / d₂² = 10⁸⁰⁵/10⁵°⁵

= 10³

d₁/d₂ = 31.62, d₁ + d₂ = 125 m

d₁ = (125/32.62) x 31.62 = 121.17 m

d₂ = 3.83 m