Develop a rule to describe what happens to the Sound Intensity Level L, as you double your distance from the source of sound. Your rule may be stated in any format and you must show that it is true for all values of L.
Well i am going to assume that the sound is emitted 3 dimensionally - like in an ever expanding sphere.
At d metres , the Surface Area of the sphere will be 4pi*d^2
at 2d metres the SA will be 4pi*(2d)^2 = 4pi*d^2 * 4
So is you double the distance I think the intensity will 1/4.
If intensity is L at a distance of d
then
Intensity will be L/4 at a distance of 2d
Intensity will be L / n^2 at a distance of nd
That is what I'd expect anyway.