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8 January, 23:16

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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  1. 9 January, 00:43
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    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
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