physics

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An audio speaker at a concert emits sound uniformly in all directions at a rate
of 100 W.
(i) Calculate the sound intensity experienced by a listener at a distance
of 8 m from the speaker.
The listener moves back from the speaker to protect her hearing.
(ii) At what distance
from the speaker is the sound intensity level reduced by 3 dB?

  • physics -

    I = P/A = P/4πr² = 100/4π(8)² = 0.12 W•m⁻²
    If the sound intensity level is halved to a value of I = 0.06 W•m⁻²,
    the sound intensity level will decrease by 3 dB.
    I = P/4πr² = 100/4π(x) ² =
    =0.06 W•m⁻²
    x = 11.5 m from the speaker.

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