Calculate the energy, mass, momentum of a photon whose wavelength is 370 nm
| June 2, 2021 | education
The formula for finding the photon energy: E = h * c / l, where
l – photon wavelength,
h is Planck’s constant. h = 6.6 * 10 ^ -34,
c is the speed of light in vacuum. c = 3.8 * 10 ^ 8.
E = 6.6 * 10 ^ -34 * 3.8 * 10 ^ 8/370 * 10 ^ -9 = 0.068 * 10 ^ -17 J.
The formula for finding the mass of a photon: m = h / (c * l), where
l – photon wavelength,
h is Planck’s constant. h = 6.6 * 10 ^ -34,
c is the speed of light in vacuum. c = 3.8 * 10 ^ 8.
m = 6.6 * 10 ^ -34 / (3.8 * 10 ^ 8 * 370 * 10 ^ -9) = 6.6 * 10 ^ -34 / 1406 * 10 ^ -1 = 0.0045 * 10 ^ -33 kg.
The formula for finding the momentum of a photon: p = h / l, where
l – photon wavelength,
h is Planck’s constant. h = 6.6 * 10 ^ -34.
p = 6.6 * 10 ^ -34 / 370 * 10 ^ -9 = 0.018 * 10 ^ -25 kg * m / s.
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