Answer:
[tex]\dfrac{I_1}{I_2}=12.25[/tex]
Explanation:
[tex]r_1[/tex] = 14 km
[tex]r_2[/tex] = 49 km
Intensity of a wave is inversely proportional to distance
[tex]I\propto \dfrac{1}{r^2}[/tex]
So,
[tex]\dfrac{I_1}{I_2}=\dfrac{r_2^2}{r_1^2}\\\Rightarrow \dfrac{I_1}{I_2}=\dfrac{49^2}{14^2}\\\Rightarrow \dfrac{I_1}{I_2}=12.25[/tex]
The ratio of the intensities is [tex]\dfrac{I_1}{I_2}=12.25[/tex]
