Determine the energy and mass of a 500nm photon.

univerkov | September 6, 2021 | education

Initial data: λ (wavelength) = 500 nm (500 * 10 ^ -9 m).

Constant data: h (Planck’s constant) = 6.62 * 10 ^ -34 J * s; C (speed of movement of light) = 3 * 10 ^ 8 m / s.

1) Let’s calculate the photon energy: E = h * C / λ = 6.62 * 10 ^ -34 * 3 * 10 ^ 8 / (500 * 10 ^ -9) = 39.72 * 10 ^ -20 J.

2) Determine the mass of the photon: m = h / (C * λ) = 6.62 * 10 ^ -34 / (3 * 10 ^ 8 * 500 * 10 ^ -9) = 4.41 * 10 ^ -36 kg.

Answer: The energy of a photon is 39.72 * 10 ^ -20 J; and its mass is 4.41 * 10 ^ -36 kg.

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