Jim halves the distance between himself and a sound source. What is the change of decibels of the sound he hears?

6.02dB

Explanation:

The sound level intensity can be calculated by using the formula:

where Io is the threshold of human hearing, and  I is the intensity of the sound in at a certain distance. I is given by

where P is the power of the source and r is the distance to the source. By replacing I in the expression for I(dB) we obtain

when jim halves the distance we have r'=1/2r:

Hence, the change o decibels is:

hope this helps!!

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