The intensity of the sound wave from an airplane is 1.0 ×
10^2 W/m^2 at 6 m. What is the intensity at 97 m?

Explanation:

A sound wave propagates in all directions radially from its source; therefore, it follows an inverse square law, it means that its intensity decreases inversely proportional to the square of the distance:

where

I is the intensity

r is the distance from the source of the wave

This means that we can rewrite the equation as:

where in this problem:

is the intensity of the sound wave when the distance is

is the intensity of the sound wave when the distance is

Solving for I2, we find:

need to see circuit to get time constant