Each square metre of the upper atmosphere receives solar energy at the rate of $1.36 kW$ . taking the radius of the earth to be $6400 km$ , Find the solar energy received by the whole upper atmosphere in one second.

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7 \times 10^{17} Joules

9 \times 10^{17} Joules

17 \times 10^{17} Joules

37 \times 10^{17} Joules

answer is A.

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Detailed Solution

The solar energy received by the whole upper atmosphere in one second is given by

7 \times 10^{17} Joules

Surface area of earth

= 4 \times Π \times r^{2}

= 4 Π (6400 \times 10^{3})^{2}

= 5.15 \times 10^{14} m^{2}

Energy falling per unit area = 1.36 \times 10^{3} joule per secondSo, the total energy received by earth = Surface area of earth \times Energy falling per unit area

= 5.15 \times 10^{14} \times 1.36 \times 10^{3}

= 7 \times 10^{17} J

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