1. The International Astronomical Union has adopted the value 3.828 x 102 W as t

Question

1. The International Astronomical Union has adopted the value 3.828 x 102 W as the "nominal solar luminosity, or power output of the Sun, for purposes of comparison with other astronomical objects. The Sun's actual power output varies by some 0.1 % from the nominal value. A precise value for Earth's average orbital distance from the Sun is 149.6 Gm. Determine the range of values for the solar constant that these figures imply. I. 1,359.8-1,362.5 W/? How long does it take the Sun to deliver to Earth the total amount of energy humankind uses in a year? 3. 3. $5 minutes

Explanation / Answer

Given,

P = 3.828 x 10^26 W ; D = 149.6 Gm = 1.496 x 10^11 m

We know that

I = P/A

I = 3.828 x 10^26/[4 pi (1.496 x 10^11)^2] = 1361.23 W/m^2

0.1% of 1361.23 = 1.36123

Min value and max values will be

(1361.23 - 1.36123), (1361.23 + 1.36123)

I = (1359.8,1362.5) W/m^2

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