Answer :

Energy of a photon E = hv = hc / λ


Where h = plank’s constant = 6.63 × 10-34 J. sec


ν = average frequency of sunlight


c = speed of light = 3 × 108 m/s


λ = average wavelength of sunlight


E = 6.63 × 10-34 × 3 × 108 / 550 × 10-9 = 3.61 × 10-19 J


ϕ = energy flux per unit area (sq. meter) per sec. falling on the earth.


n = let no. of photons falling per sec. per sq. meter on earth surface.


ϕ = n × E


n = ϕ/E


n = 1.388 × 103/3.61 × 10-19 = 3.85 × 1021 photons/m2.sec


no. of photons falling on Earth surface per square meter per sec. is 3.85 × 1021 photons/m2.sec.


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