Physics

You are trying to overhear a juicy conversation, but from your distance of 17.0 m, it sounds like only an average whisper of 35.0 dB. So you decide to move closer to give the conversation a sound level of 80.0 dB instead.

How close should you come?
d= ?? cm

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  1. halving the distance adds six db. You can use the inverse square law to show that.

    halving the distance = 41db
    halving again=47db
    halving again= 53 db

    or (1/2)^n= 6n= 80-35
    (1/2)^n=45
    2^-n=45

    log2 of each side
    n=log2 45= 6.7

    distance= 17*2^-6.7=.162m or 16.2cm

    check my thinking

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    bobpursley
  2. it didn't end up being correct, but i'm not sure where it goes wrong...

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