The sound intensity at a certain distance from a car is 2*10^-7 W/m^2.

- If the distance is tripled, what is the new intensity of the sounds?
- if the distance is halved, what is the new intensity of the sound?

for the first question I tried doing I2/2E^-7=3 since I'm assuming that's what the ratio (r2/r1)^2 would equal, but I'm getting an intensity that's bugger than the original and this doesn't make sense because it should be smaller since I'm farther away. I don't think I'm using the equation correctly, please help me.

2 answers

If the distance is tripled, the intensity is 1/3^2 or 1/9 the original. If it is halved, the intensity is 2^2 or 4 times the original. Check my thinking.
oh, so, the original radius is 1 and you're dividing that by 3? but if you're 'halving' it, would it be 1 divided by 1/2?
correct me if I'm wrong, but for problems where I'm just told the distance is tripled, halved, etc, I take one. divide it by 3, 1/2, etc, and the square it?