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The energy flux of sunlight reaching the surface of the earth is 1.388 × 10³ w/m². How many photons (nearly) per square metre are incident on the earth per second? Assume that the photons in the sunlight have an average wavelength of 550 nm.

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3.8 × 10²⁰

3.8 × 10²¹

3.8 × 10²²

3.8 × 10²³

answer is B.

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Detailed Solution

$Power of sunlight per m^{2} = P = 1.388 \times 10^{3} W / m^{2}$

$Average λ = 550 \times 10^{- 9} m$

$Let n be no. of photons per m^{2} incident on earth per second.$

$P = nE; E = hc / λ \Rightarrow n = 3.84 \times 10^{21} photons / m^{2} / s$

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