a green leaf has a surface area of 2.85 cm2 .if solar radiation is 1120 w/m2 , how many photons strike the leaf every second? assume three significant figures and an average wavelength of 504 nm for solar radi



Answer :

Number of photons =total energy fell on leaf(E)/energy of single photon =(0.2856J/s)/3.94×10-19J =7.24×1017  photons per second

What are photons ?

In other words, photons are simply light particles. Photons are fundamental subatomic particles that carry the electromagnetic force (and so much more). The photon is the fundamental unit of electromagnetic radiation, or the "quantum." Photons are everywhere around everyone: Photons make up the light coming from the screen you're looking at, the X-rays doctors use to see bones, the radio in a car that sends out its signal, and the magnets on a fridge that support itself.

Surface area A=2.80cm2=2.80×10-4m2

Solar radiation in power  P =1020W/m2

Therefore total energy falling on leaf E= P×A

E=1020×2.80×10-4=0.2856J/s

Wavelength l =504nm =504×10-9m

Energy carried by a single photon =h c/wavelength

h= plank's constant =6.626×10-34Js

c= velocity of light in vacuum =3×108m/s

Energy of single photon =6.626×10-34Js×3×108m/s/504×10-9=3.94×10-19J

  • Number of photons =total energy fell on leaf(E)/energy of single photon =(0.2856J/s)/3.94×10-19J =7.24×1017  photons per second

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