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?

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 × J

n = number of photons = ?

h = Plank's constant  = 6.6 × Js

c = speed of light = 3 × m/s

λ = wavelength = 535 × m

n = Eλ/hc

n = 4.00 × × 535 × /6.6 × × 3 ×

= 108 photons

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1080 photons

Explanation:

ΔE = hc/λ => Energy per photon

h = 6.63 x 10⁻³⁴ j·s

c = 3 x 10⁸ m/s

λ= 535 nm = 5.35 x 10⁻⁷ m

ΔE/photon = (6.63 x 10⁻³⁴ j·s)(c = 3 x 10⁸ m/s)/(5.35 x 10⁻⁷ m) = 3.71 x 10⁻¹⁹ j/photon

For #photons in 4.00 x 10⁻⁷ j =  (4.00 x 10⁻⁷ j) / (3.71 x 10⁻¹⁹ j/photon) = 1076 photons ≅ 1080 photons (3 sig. figs.)

explanation:

let the different atoms be x and y. each with four protons and same mass will be represented as follows.

mass number is number of protons + number of neutrons.

            and  

since, it is given that one has a negative charge while the other is neutral. therefore, there will be increase in number of protons and the atom will be represented as follows.

according to periodic table, mass number of beryllium is 9 and it has atomic number 4 so, the atoms will be and .  

the protons and neutrons will be located inside the nucleus whereas the electrons will be revolving around the nucleus.  

answer7,570,82356 cubic centimeters;