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The earth rec...

Question

The earth receives energy from the sun at the rate of $1400 {Wm}^{- 2} .$ The force exerted by the solar radiation on the roof of dimensions $(16 m \times 10 m)$ is nearly equal to $P \times 10^{- 4}$ . Find the value of $P$ -
$($ Assume absorption coefficient of roof is $0.8)$

A

9.00

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B

9

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C

9.0

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Solution

Given,

$P = 1400 {Wm}^{- 2}; A = 160 m^{2}$

$α = 0.8 \Rightarrow r = 1 - α = 1 - 0.8 = 0.2$

For a partially absorbing surface, the force exerted by the radiation is,

$F = \frac{I A}{c} (1 + r)$

$F = \frac{1400 \times 160}{3 \times 10^{8}} \times (1 + 0.2)$

$F = 9 \times 10^{- 4} N$

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