You are trying to overhear a juicy conversation, but from your distance of 23.0

Question

You are trying to overhear a juicy conversation, but from your distance of 23.0 m , it sounds like only an average whisper of 40.0 dB . So you decide to move closer to give the conversation a sound level of 65.0 dB instead.

Part A

How close should you come

d= cm

You are trying to overhear a juicy conversation, but from your distance of 23.0 m , it sounds like only an average whisper of 40.0 dB . So you decide to move closer to give the conversation a sound level of 65.0 dB instead.

Part A

How close should you come

d= cm

Explanation / Answer

intensity level B1 = 10*log(I1/Io)

Io threshold intensity = 10^-12

40 = 10*log(I1/10^-12)

I = 10^-8 W/m^2

B2 = 10*log(I2/Io)

65 = 10*log(I2/10^-12)

I2 = 3.16*10^-6 W/m^2

Intensity I = P/A = P/(4*pi*r^2)

I2/I1 = (r1/r2)^2

3.16*10^-6/10^-8 = (23/r2)^2

r2 = 1.3 m = 130 cm

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