Question

In a solar system far far away, the sun's intensity is 100 W/m2 for a planet located a distance R away. What is the sun's intensity for a planet located at a distance 5 R from the Sun

Answer 1

The sun's intensity for a planet located at a distance 5 R from the Sun is 4 W/m²

Step-by-step explanation:

The intensity of Sun located at a distance of R away is
`100\ W/m^2`.

We need to find the sun's intensity for a planet located at a distance 5 R from the Sun. Intensity is given by :

`I\propto (1)/(r^2)`

So,

`(I_1)/(I_2)=((r_2)/(r_1))^2`

Here, I₁ = 100 W/m² and r₁ = R and r₂ = 5R

`I_2=(I_1r_1^2)/(r_2^2)`

`I_2=(100(R^2))/((5R)^2)\\\\I_2=(100)/(25)\\\\I_2=4\ W/m^2`

So, the sun's intensity for a planet located at a distance 5 R from the Sun is 4 W/m².