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The source of a sound wave has a power o...

The source of a sound wave has a power of 3.00` muW`. If it is a point source, (a) what is the intensity 4.20 m away and (b) what is the sound level in decibels at that distance?

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To solve the problem step by step, we will calculate the intensity of the sound wave at a distance of 4.20 m from the point source and then determine the sound level in decibels. ### Step 1: Understand the formula for intensity The intensity \( I \) of a sound wave from a point source is defined as the power \( P \) of the source divided by the area \( A \) over which the power is distributed. For a point source, the area is the surface area of a sphere, which is given by: \[ A = 4\pi r^2 \] where \( r \) is the distance from the source. ...
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