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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?
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Answers ( )
Answer:
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: