A rock group is playing in a bar. Sound
emerging from the door spreads uniformly in
all directions. The intensity level of the music
is 66.7 dB at a distance of 5.96 m from the
door.
At what distance is the music just barely
audible to a person with a normal threshold
of hearing? Disregard absorption.
Answer in units of m.

5292.64 m

Explanation:

Taking threshold intensity as and since it's a constant then sound intensity for 66.7 dB will be

Also, since sound intensity is inversely proportional to the square of the distance of the source then the distance can be given by

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