Photon energy 2.8 * 10 ^ -19J. What is the wavelength of electromagnetic radiation?

Given:

W = 2.8 * 10 ^ -19 Joules – photon energy;

h = 6.6 * 10 ^ -34 Joule / second – Planck’s constant;

c = 3 * 10 ^ 8 m / s – the speed of light in a vacuum.

It is required to determine the photon wavelength y (meter).

To determine the wavelength of a photon, you need to use the following formula:

W = h * c / y, hence:

y = h * c / W = 6.6 * 10 ^ -34 * 3 * 10 ^ 8 / (2.8 * 10 ^ -19) =

= 19.8 * 10 ^ -26 / (2.8 * 10 ^ -19) = 7.1 * 10 ^ -7 meters.

Answer: The wavelength of the photon is 7.1 * 10 ^ -7 meters (0.71 micrometer).