The relationship of the two is that, the sound intensity
is inversely proportional to the square of the distance of the source.
I α 1 / r^2
Where I = intensity and r = distance from source
From this, we can equate two conditions 1 and 2:
I1 / I2 = r2^2 / r1^2
So when r2 = 2 r1, the intensity becomes:
I1 / I2 = (2r1 / r1)^2
I1 / I2 = 4
I2 = I1 / 4
So when we double the distance of the source, the
intensity of the sound reduces by a factor of 4 (divided by 4).
