The intensity I (in watts per square meter) of a television signal at a distance of k kilometers is described by the equation I =180/d^2. Find the intensity if the signal at a distance of 5 kilometers.

Respuesta :

3.6 x 10^-5 watts per m²

1) Since the formula of the intensity of a beam of light, is

[tex]I=\frac{k}{d^2}\Rightarrow I=\frac{180}{d^2}[/tex]

2) And the distance given is 5 km, then we need to convert that to meters 5 km=5000 meters then we can write:

[tex]\begin{gathered} I=\frac{180}{5000^2} \\ I=3.6\times10^{-5} \end{gathered}[/tex]

3) Then the Intensity of that TV 3.6 x 10^-5 watts, per m²