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The wavelength of visible light for the green color is 600 𝑛𝑚. The energy ofphotons of this color is __________ 𝑒𝑉 (rounded off to one decimal place).(Planck’s constant = 6.63 × 10−34 𝐽𝑠, 1 𝑒𝑉 = 1.6 × 10−19 𝐽,speed of light = 3 × 108 𝑚𝑠−1

Question

The wavelength of visible light for the green color is 600 𝑛𝑚. The energy ofphotons of this color is __________ 𝑒𝑉 (rounded off to one decimal place).(Planck’s constant = 6.63 × 10−34 𝐽𝑠, 1 𝑒𝑉 = 1.6 × 10−19 𝐽,speed of light = 3 × 108 𝑚𝑠−1

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Solution

To find the energy of the photons, we can use the formula for the energy of a photon, which is E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength.

Given: h = 6.63 × 10^-34 J.s c = 3 × 10^8 m/s λ = 600 nm = 600 × 10^-9 m (since 1 nm = 10^-9 m)

Substituting these values into the formula, we get:

E = (6.63 × 10^-34 J.s * 3 × 10^8 m/s) / (600 × 10^-9 m) E = 3.315 × 10^-19 J

But the question asks for the energy in electron volts (eV), not joules. We know that 1 eV = 1.6 × 10^-19 J, so we can convert the energy to eV by dividing by this conversion factor:

E = 3.315 × 10^-19 J / 1.6 × 10^-19 J/eV E = 2.07 eV

Rounding off to one decimal place, the energy of the photons of this color is 2.1 eV.

This problem has been solved

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