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In a solar system far, far away the sun's intensity is 500 W/m2 for an inner planet located a distance R away. What is the sun's intensity for an outer planet located at a distance 5 R from the Sun?

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AMB000

Answer:

[tex]I=20W/m^2[/tex]

Explanation:

Since intensity is proportional to [tex]1/r^2[/tex], being at a distance 5 times farther will make the intensity 25 times smaller, which means that the intensity for an outer planet located at a distance 5 R from the Sun is:

[tex]I=\frac{I_0}{25}=\frac{500W/m^2}{25}=20W/m^2[/tex]

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