A sound source of power 100 watts radiates sound uniformly in all directions. The intensity of the sound at a distance of 4.00 m is

The intensity of a sound is given by the formula:

I = P / (4πr²)

where: I is the intensity, P is the power of the sound source, and r is the distance from the source.

Given that P = 100 watts and r = 4.00 m, we can substitute these values into the formula to find the intensity:

I = 100 W / (4π(4.00 m)²)

First, calculate the denominator:

4π(4.00 m)² = 4π(16.00 m²) = 201.06 m²

Then, divide the power by this value to find the intensity:

I = 100 W / 201.06 m² = 0.497 W/m²

So, the intensity of the sound at a distance of 4.00 m from the source is approximately 0.497 W/m².