Question

Spherical sound waves in the open air follow the inverse square law, where the intensity of the sound wave is inversely proportional to the square of the distance. If the distance is multiplied by 9, by what number is the intensity of a spherical sound wave multiplied?

Question 14

Answer 1

If the distance is multiplied by 9, the intensity of a spherical sound wave is divided by 81.

Step-by-step explanation:

In the given scenario, if the distance is multiplied by 9, the intensity of a spherical sound wave is divided by 81.

This can be explained using the inverse square law, which states that the intensity of a sound wave is inversely proportional to the square of the distance.

For example, if the distance is multiplied by 9 (which is equivalent to increasing the distance by a factor of 3), the intensity of the sound wave will decrease by a factor of (3)^2 = 9.

Learn more about Inverse square law of sound waves