A loudspeaker at a rock concert generates $10^{- 2} W / m^{2}$ at $20 m$ at a frequency of $1 k H z$ . Assume that the speaker spreads its energy uniformly in all directions.
What is the intensity level at $30 m$ ?

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Solution

We know that,
$I α \frac{1}{r^{2}}$ $\Rightarrow$ $\frac{I}{I_{o}} = \frac{(r_{o})^{2}}{(r)^{2}}$ $\Rightarrow$ $I = 10^{- 2} \times \frac{20^{2}}{30^{2}} = 4.44 \times 10^{- 3} W / m^{2}$

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A loudspeaker at a rock concert generates 10−2 W/m2 at 20 m at a frequency of 1 kHz. Assume that the speaker spreads its energy uniformly in all directions.What is the intensity level at 30 m?

We know that,Iα1r2 ⇒ IIo=(ro)2(r)2 ⇒ I=10−2×202302=4.44×10−3W/m2

A loudspeaker at a rock concert generates $10^{- 2} W / m^{2}$ at $20 m$ at a frequency of $1 k H z$ . Assume that the speaker spreads its energy uniformly in all directions.
What is the intensity level at $30 m$ ?

We know that,
$I α \frac{1}{r^{2}}$ $\Rightarrow$ $\frac{I}{I_{o}} = \frac{(r_{o})^{2}}{(r)^{2}}$ $\Rightarrow$ $I = 10^{- 2} \times \frac{20^{2}}{30^{2}} = 4.44 \times 10^{- 3} W / m^{2}$