The energy (E) of a photon with a wavelength of 400 nm is approximately 3.1 eV. For visible light, with wavelengths ranging from 400 nm to 700 nm, the energy range of photons is approximately 1.77 eV to 3.1 eV.
To calculate the energy (E) of a photon with a wavelength of 400 nm, we can use the formula E = rac{hc}{λ}, where h is Planck's constant, c is the speed of light, and λ (lambda) is the wavelength. Given that h = 4.14 x 10⁻¹⁵ eV·s and the speed of light c = 3.00 x 10⁸ m/s, and hc = 1240 eV·nm, we can compute the energy directly in electron volts (eV) as follows:
E = rac{1240 eV·nm}{400 nm} = 3.1 eV
In the context of visible light, which is electromagnetic radiation with wavelengths roughly between 400-700 nanometers, we would expect photons in this spectrum range to have energies that correspond to these wavelengths.
Energy Range for Visible Light Photons
For visible light photons with wavelength limits of 400 nm and 700 nm, the energy range can be calculated by using the same formula. The energy for a wavelength of 700 nm is:
E = rac{1240 eV·nm}{700 nm} ≈ 1.77 eV
Therefore, the energy range for visible light photons is approximately 1.77 to 3.1 eV.