By what factor must the amplitude of a sound wave be decreased in order to decrease the intensity by a factor of 3?

Amplitude is decreased by a factor of if intensity is decreased by a factor of 3.

Explanation:

Intensity of a sound wave is directly proportional to the square of its amplitude.

Therefore, if intensity is and amplitude is , then

, where, is constant of proportionality.

Now, if intensity of sound wave is decreased by a factor of 3. So,

New intensity is,

Plug in for . This gives,

Therefore, amplitude is decreased by a factor of .

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.