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The intensity of solar radiation at the top of the Earth's atmosphere is 1506 W/m^2. Assuming 60% of the incoming solar energy reaches the Earth's surface and you absorb 50% of the incident energy, find the amount of solar energy you absorb if you sunbathe for 58 minutes.

Respuesta :

Answer:

The correct answer to the following question will be "7.54 *10⁶ J".

Explanation:

The given values are:

Earth's top intensity of solar radiation,

[tex]lo=1506 \ W/m^2[/tex]

At the surface of the earth,

[tex]l1=\frac{1506\times 60}{100}[/tex]

   [tex]=903.6 \ W/m^2[/tex]

Now,

[tex]Absorbed \ by \ humans = \frac{903.6\times 50}{100}[/tex]

                                 [tex]=451.8 \ W/m^2[/tex]

As we know,

[tex]radiation \ intensity=\frac{power}{area}[/tex]

and,

[tex]power=\frac{energy}{time}[/tex]

So,

The amount of solar energy absorbed by us,

[tex]=451.8\times 58\times 60\times 1.6\times 0.3[/tex]

[tex]=7.54\times 10^6 \ J[/tex]