Question

The distance from the earth to the sun is about 1.50×1011 m . Find the total power radiated by the sun.

Answer 1

Answer:

Power, $P=3.93\times 10^{26}\ W$

Explanation:

Given that,

The distance from the earth to the sun is about, $d=1.5\times 10^{11}\ m$

let us assume that the average intensity of solar radiation at the upper atmosphere of earth,. $I=1390\ W/m^2$

We need to find the total power radiated by the sun. The intensity is defined as the total power divided by the area of a sphere of radius equal to the average distance between the earth and the sun. It is given by :

$I=\dfrac{P}{4\pi r^2}$

P is total power

$P=4\pi r^2\times I$

$P=3.93\times 10^{26}\ W$

So, the total power radiated by the sun is $P=3.93\times 10^{26}\ W$. Hence, this is the required solution.