The relation between the intensity (I) of a wave and on the distance (r) from a line source is

Question

The relation between the intensity (I) of a wave and on the distance (r) from a line source is (A) I propto r-1 (B) I propto r-2 (C) I propto r (D) I propto r1/2

Tardigrade Admin · Accepted Answer

For a line source intensity, I=(p/A)=(p/(2 π r)) v ∴ I propto (1/ r ),

Q. The relation between the intensity (I) of a wave and on the distance (r) from a line source is

$I \propto r^{- 1}$

$I \propto r^{- 2}$

$I \propto r$

$I \propto r^{1/2}$

For a line source intensity, $I = \frac{p}{A} = \frac{p}{( 2 π r )} v$
$∴ I \propto \frac{1}{r}$ ,

Q. The relation between the intensity (I) of a wave and on the distance (r) from a line source is

I∝r−1

I∝r−2

I∝r

I∝r1/2

For a line source intensity, I=Ap​=(2πr)p​v ∴I∝r1​,

$I \propto r^{- 1}$

$I \propto r^{- 2}$

$I \propto r$

$I \propto r^{1/2}$

For a line source intensity, $I = \frac{p}{A} = \frac{p}{( 2 π r )} v$
$∴ I \propto \frac{1}{r}$ ,