Question

Sound intensity,l, from a spherical source is a function of the distance, r, from the source of the sound. It is represented by the function I = P/4pir^2 where p is the power of the sound. Explain the behavior of the graph of l and what it means in context.

Answer 1

The vertical asymptote is r = 0.

The intensity is undefined at the source.

The horizontal asymptote is I = 0.

As the distance from the source increases, the intensity goes to zero.

The intensity decreases as the distance increases.

Answer 2

Answer with Step-by-step explanation:

We are given that sound intensity I form a spherical source

`I=(P)/(4\pi r^2)`

Where r=Distance from the source of sound

P=Power of the sound

When r=0 then the intensity is undefined at source.

When r=infinity

Then , the intensity,
`I=(P)/(4\pi(\inft)^2)=0`

Intensity is inversely proportional to distance r from the source of sound.

It means when the distance from the source increases then the intensity decreases.

When r increases and goes to infinity then the intensity approach to zero.