You live on a busy street, but as a music lover, you want to reduce the traffic noise. (b) If, instead, you reduce the intensity by half, what change (in dB) do you make in the sound intensity level?

Video transcript

Hey everyone. Alright, so for this problem we are working with sound intensity. Let's see what it's asking us if a theater reduces its interior sound intensity by 75%, determine the change in sound intensity level. In decibels. Alright, so we are going to recall our sound intensity level equation is delta beta equals 10 decibels times the log of I two over I one where i is your intensity level. So it's interesting here that they don't actually tell us what the initial intensity is. It just says we're going to be decreasing it by 75%. So another way of writing that is I two is 75% less than I one or it is 25% of I won So I two equals .25 times I won. We're gonna sub this back into our equation here. So delta bravo. Delta beta equals 10 decibels times the log Of .25, I won over I one. It's interesting because I was canceled. So the fact that they didn't give you the initial intensity in this problem isn't an issue. You don't need it now, we're just gonna kind of solve this through plug and chug 10 Decimals times the log of . equals negative six point oh two decibels. The negative here. Um Just kind of do a gut check that. It's right because we are reducing our sound intensity. Look at our problem, the answer is f negative six point oh two decibels. That's it for this problem folks, we'll see you in the next video