Answer
The intensity of the sunlight that reaches Jupiter is $52~W/m^2$
Work Step by Step
We can find an expression for the intensity at the Earth:
$I_E = \frac{P}{A}$
$I_E = \frac{P}{\pi~R_E^2}$
We can find the intensity at Jupiter:
$I_J = \frac{P}{A}$
$I_J = \frac{P}{\pi~R_J^2}$
$I_J = \frac{P}{\pi~(5.2~R_E)^2}$
$I_J = \frac{1}{(5.2)^2}\times \frac{P}{\pi~R_E^2}$
$I_J = \frac{1}{(5.2)^2}\times I_E$
$I_J = \frac{1}{(5.2)^2}\times (1400~W/m^2)$
$I_J = 52~W/m^2$
The intensity of the sunlight that reaches Jupiter is $52~W/m^2$.
