Question

How much more intense is a sound that has a level 17.0 dB higher than another? (b) If one sound has a level 23.0 dB less than another, what is the ratio of their intensities?

a) (a) 50 X; (b) 125 X
b) (a) 60 X; (b) 150 X
c) (a) 70 X; (b) 175 X
d) (a) 80 X; (b) 200 X

Answer 1

A sound that is 17.0 dB higher than another is approximately 50 times more intense. A sound that is 23.0 dB less intense than another is approximately 125 times less intense.

Step-by-step explanation:

To determine how much more intense a sound is when it has a level 17.0 dB higher than another, we can use the fact that each 10 dB increase represents a tenfold increase in intensity. Therefore, a sound that is 17.0 dB higher than another is approximately 50 times more intense.

To find the ratio of the intensities when one sound has a level 23.0 dB less than another, we can use the fact that each 10 dB decrease represents a tenfold decrease in intensity. Therefore, a sound that is 23.0 dB less intense than another is approximately 125 times less intense.