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The retina of a human eye can detect light when radiant energy incident on it is at least 4.00 × 10−17 J. For light of 535−nm wavelength, how many photons does this energy correspond to?

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pstnonsonjoku

The number of photons is obtained by Plank's equation to be 108 photons.

According to Plank's theory;

E = nhf

But f = c/λ

Hence;

E =nhc/λ

Where;

E = energy of photon = 4.00 × [tex]10^-17[/tex] J

n = number of photons = ?

h = Plank's constant  = 6.6 × [tex]10^-34[/tex] Js

c = speed of light = 3 × [tex]10^8[/tex] m/s

λ = wavelength = 535 × [tex]10^-9[/tex]m

n = Eλ/hc

n = 4.00 × [tex]10^-17[/tex] × 535 × [tex]10^-9[/tex]/6.6 × [tex]10^-9[/tex]× 3 × [tex]10^8[/tex]

= 108 photons

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