Answer:
The sun's intensity for a planet located at a distance 5 R from the Sun is 4 W/m²
Explanation:
The intensity of Sun located at a distance of R away is [tex]100\ W/m^2[/tex].
We need to find the sun's intensity for a planet located at a distance 5 R from the Sun. Intensity is given by :
[tex]I\propto \dfrac{1}{r^2}[/tex]
So,
[tex]\dfrac{I_1}{I_2}=(\dfrac{r_2}{r_1})^2[/tex]
Here, I₁ = 100 W/m² and r₁ = R and r₂ = 5R
[tex]I_2=\dfrac{I_1r_1^2}{r_2^2}[/tex]
[tex]I_2=\dfrac{100(R^2)}{(5R)^2}\\\\I_2=\dfrac{100}{25}\\\\I_2=4\ W/m^2[/tex]
So, the sun's intensity for a planet located at a distance 5 R from the Sun is 4 W/m².
