How many times greater is the intensity of sound from a concert speaker at a distance of 1 meter than the intensity at a distance of 5 meters?

The intensity of sound diminishes with distance due to the inverse square law, which states that intensity is inversely proportional to the square of the distance from the source. So if you're 1 meter away, the intensity is \( I_1 \) and at 5 meters, it’s \( I_5 \). The ratio of intensities is given by: \[ \frac{I_1}{I_5} = \left(\frac{d_5}{d_1}\right)^2 = \left(\frac{5}{1}\right)^2 = 25 \] Thus, the intensity of sound from a concert speaker at a distance of 1 meter is 25 times greater than the intensity at a distance of 5 meters. Now that's loud enough to make you want to dance! But remember, getting too close to those speakers can turn that dance into a hearing health issue! Enjoy the music but protect your ears!